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Speculation of pack sizes (kWh)

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560 EPA mile range maths out to 446 Wh/mile, not unreasonable for improved efficiency under favorable conditions.
Also implies 535 Wh/mile for a 300kWh pack, fair numbers if we consider each motor may get its own 100kWh pack (simplifying manufacture of single/dual/tri motor configurations).
 
Even with battery cost improvements, a 250kWh battery isn't economical. You'd still be looking at the battery alone costing >$20k and weighing around 1000kg. It would take more than 30 hours to charge on a typical 50A 240V home circuit. A 250kW battery is borderline impractical.

With good gains in powertrain efficiency and aerodynamics, the Cybertruck should get down to around 400wh/mi, giving a 500mi range with a much more reasonable 200kWh pack. With the HPWC, you could get that thing charged in around 16 hours, around the upper limit of practicality.