I've always been fascinated by the rush to get a ticket once the jackpot rises to ridiculous levels.
I mean, I don't know about you but I'm pretty sure I'd be just as happy with 20 million instead of 600.
Once you get over a certain threshold it's all just icing on the cake, imo. If you're smart enough to invest, anyway. If you're just planning on spending until it's gone then yeah, the more the merrier.
Really the first thing to do after a jackpot win is to form a budget. Try not to spend the cash. Invest it and live off the dividends. I know that I, as a single 23 year-old, could probably afford 99% of what I want with something just north of 100K/year. Money like that can last forever if you do it right.
Anyway, in this economy I'd take a lump sum for sure. Probably invest heavily in metals in case the dollar implodes.