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By ridiculous I mean something absolutely absurd. 1 million+ addresses. Like say if Amazon had started to accept payments, how could they possibly keep up? Bitcoind probably can't keep up? How would I go about solving this? How does SatoshiDice or Blockchain deal with this?

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    No of bitcoin addresses doesn't matter. Even a simple computer / laptop / smartphone can handle billions of addresses. – vi.su. Dec 25 '13 at 4:40
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There's absolutely nothing you need to do per address, so the number of addresses has no effect. You only need to process each transaction.

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