What is this product?

[Robert Gerbicz]

Hi!

By the following PARI program I've gotten 130 decimal digits of the
constant!
Note that all digits are correct.

default(realprecision,256)
f(k)=return(sum(n=1,512,moebius(n)/n*log(zeta(k*n))))
exp(sum(h=1,512,-1/h*f(h+1)))

0.5598656169323734857237622442234167172576663702129060395542339339\\
352031717975915936276540950630665470795373094197373037280781542375
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