Perfect NCAA Bracket?

[LesJ]

What are the odds of a picking a perfect NCAA bracket? I believe I figured it out, but it seems almost too unrealistic. I calculated the odds at 1:9,223,372,036,854,775,808. I went under the assumption that the odds of picking each game were exactly 50%, with no benefit of basketball knowledge. I also totally eliminated the "Play-In" game from my calculation, going instead with 64 teams playing a total of 63 tourney games.

Les