What Alan said. You can put a resistor on your kitchen table and measure the voltage across it as a result of intrinsic and extrinsic noise. Intrinsic from thermal fluctuations and extrinsic from stray fields.
To answer your question, a signal to noise ratio of over 85dB referenced to a 1 Watt output into the rated load with the inputs shorted and measured over a band from 20Hz to 20Khz at maximum gain is a figure your ears won't object to.
If you are really concerned about the noise, drown your amp in liquid nitrogen.
Does that help
?