The short answer is: way less than most people think.
Now, we are talking average levels ... what the amp is putting out more than 95% of the time while listening to music.
At most listening levels, almost certainly less than 1 watt, and possibly less than 1/10th watt.
Note: I'm using watts, which is customary, but we can define that as 2.83V into 8 ohms. Into half that load, the wattage would double but the voltage would remain constant, and almost all power amps are voltage amplifiers (a very, very few are current amplifiers, but they are a completely different kettle of fish).
The Crest Factor (CF) is the way we define the difference between average and peak levels in music signals. For most Classic Rock, the CF is about 14 dB (average level is 14 dB below peak level).
With modern Rap / HipHop, and pop music such as Taylor Swift or ... well, name your poison ... the CF might be as little as 1 or 2 dB. But, remember, that is above the average level, so it's not as dramatic a power requirement as you might at first think.
You need clean peak power for quality reproduction. So despite the fact that we are listening at very low power outputs most of the time, we absolutely need that peak power capability.
So we use that level to base our expectations on how large an amp we need, with our speakers, with our choice of music format, with our listening room and typical (or desired maximum) Sound Pressure Levels (SPLs).
If that were not the case, we could probably get by happily with 1 watt amps. If you ever sit in a classic automobile ... one where an aftermarket stereo hasn't been fitted, and one that pre-dates the modern high power car systems from the OEM; definitely anything from the 70's and most vehicles made into the 1990's ... the maximum output from the available car power supply is about 4 watts (@ 8 ohms) per stereo channel. Yes, I know that is an unlikely speaker impedance, but we already know how to translate that into watts/4 ohms, so feel free to exercise your brain.
At an SPL in-room of perhaps 70 dB, which isn't loud but certainly loud enough for background music ... average power into an 8 ohm load with speakers of average efficiency, is about 0.01 watt.