The limits you're looking for are called "fan-out", but it's not that simple
anymore.

HC inputs are essentially capacitors, so you need to sum the total
capacitance of traces and gates, and then look at the output drive, and
decide if the rise/fall times that result are something you can live with.

For what you're talking about, it sounds like you'll have no problem as long
as you remember that with 32 HC gates hung on your output pin, your outputs
are going to need a little time to become valid, between each state
change.
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