Bill - Amps x Volts = Watts so a 6000W rated generator is 25 AMPS (240Vx25A=6000W) If it is rated at 6000W then it probably has a surge rating of 7100-7200 or in that area.
For practical purposes I would not just get one for the well, but wire it into your house panel with selected circuits to run (Fridge, Well Pump, Furnace and some select light circuits). You won't spend a lot more but if yoiu are going the generator route, then I would get at least a 7000W running 8250 surge and electric start and wire it into your house panel.
Total cost for this type setup will be about $800 generator, $300 transfer switch, $3-500 for installation but this is a solution for your "necessary circuits" and hard wired so you start it and hit a few switches and you have 50-60% of the house needs covered.
If you are set on just getting one for your well pump, fine, then a 4000W unit with a 240V plug ((14.5 Amps) will work just fine. The other thing, generators can run 24/7 - your well pump "on demand" based on pressure and demand. So if you want to use the water and generator then turn it off this will work fine.
I would opt for a more "scaled" system that serves your house than a point solution for your well. Just my 2C. BTW - you have many box stores locally - Lowes and HD but given your situation there they may be out of generators - I would not buy one on line - shipping is a big cost for these units.
Carl