Given the sequence $1, 4, 9, 6, 5, 6, 9,\ldots$ , what's the next number?

5
0
4
9
1
3
8
6

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The pattern is that these numbers are the units place digits of the first 7 perfect squares. So then, the next number in the sequence is $\boxed{4}$ because $8^2 = 64$