Ray,

The 33 amp is the continuous output listed in the specs for the inverter.

Charging current is 120 amps 24VDC, or about 24 amps AC current draw.

The AC transfer switch is listed as 60 amps but I do not know if that includes the charging current. Your question prompted me to re-read the specs off the PDF file for the owners manual (about 150 or 160 pages so there is a lot of data) and after re-reading it I think I have now answered a question that has been nagging me in part.