A very low number.
It is determine by the Compton match of the range over which light emission is supported. For EM wave I get:
impedance = 2* sqrt(Mass ratio * freq ratio)
Which is likely inaccurate, but close enough. The ratios are taken from the electron to the proton for mass ratio. Why the Mass ratio? Not really needed, but I left it as I am not sure.
For the vacuum it is very close to zero.
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