distances - If we count Avogadro's Number of stars that are closest to Earth, how big that space would be?

^{I posted this as a question to Scientific Imagination (Area 51 proposal) a while ago. And it was suggested that this question "is perfectly acceptable on Astronomy SE", since "it's about stellar census".}

I think that the answer to this question will be useful as a scale to appreciate the size of the universe.

So, If we count Avogadro's Number of stars that are closest to Earth, how big that space would be? And how many galaxies/clusters will be engulfed in that space? And for a start, let's just consider only three dimensions.