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640009714560 = 27352233674073
BaseRepresentation
bin10010101000000111000…
…11010011101110000000
32021011222101012010212020
421110003203103232000
540441214441331220
61210003313201440
764145015546106
oct11240343235600
92234871163766
10640009714560
112274768872a7
12a4055b60280
1348477a31718
1422d95c5dc76
15119ac623040
hex95038d3b80

640009714560 has 256 divisors, whose sum is σ = 2055267164160. Its totient is φ = 169399369728.

The previous prime is 640009714549. The next prime is 640009714583. The reversal of 640009714560 is 65417900046.

It is a super-2 number, since 2×6400097145602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157132684 + ... + 157136756.

It is an arithmetic number, because the mean of its divisors is an integer number (8028387360).

Almost surely, 2640009714560 is an apocalyptic number.

640009714560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640009714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027633582080).

640009714560 is an abundant number, since it is smaller than the sum of its proper divisors (1415257449600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640009714560 is a wasteful number, since it uses less digits than its factorization.

640009714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 640009714560 in words is "six hundred forty billion, nine million, seven hundred fourteen thousand, five hundred sixty".