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63674257920 = 2935713312939
BaseRepresentation
bin111011010011010010…
…000001001000000000
320002100120100110001220
4323103102001020000
52020401102223140
645130200155040
74412623155630
oct732322011000
9202316313056
1063674257920
1125005505459
1210410468a80
136009a39bc0
1431208526c0
1519ca0d1bd0
hexed3481200

63674257920 has 640 divisors, whose sum is σ = 258703441920. Its totient is φ = 12996771840.

The previous prime is 63674257919. The next prime is 63674258027. The reversal of 63674257920 is 2975247636.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×636742579202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21663811 + ... + 21666749.

It is an arithmetic number, because the mean of its divisors is an integer number (404224128).

Almost surely, 263674257920 is an apocalyptic number.

63674257920 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 63674257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129351720960).

63674257920 is an abundant number, since it is smaller than the sum of its proper divisors (195029184000).

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

63674257920 is a wasteful number, since it uses less digits than its factorization.

63674257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 63674257920 in words is "sixty-three billion, six hundred seventy-four million, two hundred fifty-seven thousand, nine hundred twenty".