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640327983837696 = 29337211210177351
BaseRepresentation
bin1001000110010111111111101…
…0000001000011001000000000
310002222012202110011021110102000
42101211333322001003020000
51132412113202330301241
610145510340444424000
7251606112240050100
oct22145777201031000
93088182404243360
10640327983837696
11176034633618800
125b997a2a248000
132163a89268231b
14b41a07b22d200
154e066011baeb6
hex2465ffa043200

640327983837696 has 1440 divisors, whose sum is σ = 2447562782206080. Its totient is φ = 164670105600000.

The previous prime is 640327983837559. The next prime is 640327983837713. The reversal of 640327983837696 is 696738389723046.

640327983837696 is a `hidden beast` number, since 6 + 40 + 3 + 2 + 7 + 98 + 38 + 376 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8278173421 + ... + 8278250771.

It is an arithmetic number, because the mean of its divisors is an integer number (1699696376532).

Almost surely, 2640327983837696 is an apocalyptic number.

640327983837696 is a gapful number since it is divisible by the number (66) 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 640327983837696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223781391103040).

640327983837696 is an abundant number, since it is smaller than the sum of its proper divisors (1807234798368384).

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

640327983837696 is a wasteful number, since it uses less digits than its factorization.

640327983837696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77515 (or 77475 counting only the distinct ones).

The product of its (nonzero) digits is 11851370496, while the sum is 81.

The spelling of 640327983837696 in words is "six hundred forty trillion, three hundred twenty-seven billion, nine hundred eighty-three million, eight hundred thirty-seven thousand, six hundred ninety-six".