Your 4 batteries have 76a to 190a available before you need to charge depending on whether your batteries can be safely drawn down to a 20 percent or 50 percent state of charge (SOC). True 6v deep cycle, not marine, it is usually 50 percent. We've got 2 6v 260a batteries that can be drawn down to a 50 percent SOC and we can, if conservative, go nearly 3 days without sun or genny charging. This with a 300amp inverter for charging small stuff and a computer, lights, a little TV or radio, the occasional water pump and occasionally the heater. Inverters draw different amounts whether powering something or not. You could be losing 40 or 50amps a day just with that inverter plugged in doing nothing. Check its load ratings. Add much else and you could be done before the nights over especially after just adding in the possible phantom loads of maybe 24+ amps a day.