A bit over-simplified. Geothermal and nuclear both use the result of what's produced by the earth's core, be it heat, or fissile elements like uranium. Materials like uranium have been around since the big bang. Now, would the earth's core be active in the manner in which it is without the sun? I assume no, but it isn't solar radiation that produces it.
Now, fossil fuels, which are decayed plant and organic matter in the case of coal (there's some debate on the others) and of course wind, are indeed a direct result of the sun's impact on the earth.
On the solar thing, while that number sounds huge, it's the harvesting of that energy, when it's available, that's problematic. Total Solar Irradiance, according to NASA, is 1,366W per square meter; 1.37kW. The ability to harness that energy is limited by two things:
1. Technology
2. Time
This means that with a PERFECT collector, that's 100% efficient in converting irradiance to electricity, it would require 729,927 square meters to produce 1GW of electricity. That's 180 acres. As I showed earlier in the thread, Pickering Nuclear occupies around that same amount of space, and had a nameplate capacity of 4.2GW when constructed. If Bruce A and B were constructed in the same manner as Pickering, they would also cover about the same amount of land and have a nameplate capacity of 7GW. That's not a theoretical limit, that's actual output capacity that we are harnessing right now. The power of the atom is by far the most energy dense source we have access to.
But, alas, a perfect collector does not exist. The earth moves. The largest part of the earth is covered in ocean. Clearly, all significant problems. In terms of technology, solar collectors are around 20% efficient (PV) and only collect full nameplate when in a direct angle with the sun. More efficient CSP (even considering the lossiness of running a steam turbine) has been a boondoggle because of the size of the collector fields and unreliability of the systems and you are still limited by hours of available sunlight.
Getting back to your original premise, no, the sun isn't showering the earth with orders of magnitude more energy than we could produce via fission. As noted, even with a perfect collector that is always in direct line of sight with the sun, 180 acres would be 7x less productive than a nuclear power plant of the same size. In reality, the nuclear power plant will have a capacity factor of north of 90%, while even a perfectly efficient collector would have a capacity factor of less than 50%. The stack of losses due to angle of the sun, conversion efficiency and seasonal variation in irradiance as well as of course nighttime, makes harnessing solar at that scale a non-solution. And that's not even factoring in the limited lifespan of existing collector technology.