A single number, such as 3773949588525642992, does not constitute a sequence.
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For English speaking people, the numbers are in alphabetical order.
They are arrange alphabetically.
This sequence of numbers is in alphabetical number when written in their full form, eg; "eight".
Oh, dude, that sequence is just a permutation of the numbers 0-9. Like, nothing too special about it, just a rearrangement of the digits. So, technically, it's special because it's a permutation, but like, not really mind-blowing or anything.
A series is a special case of a sequence where the n'th term is the sum of n numbers a1, a2, ..., an. In other words, it is a sequence in the form S1 = a1 S2 = a1 + a2 S3 = a1 + a2 + a3 ... Sn = a1 + a2 + ... + an