6312932640 has 360 divisors, whose sum is σ = 25919450172. Its totient is φ = 1442810880.

The previous prime is 6312932629. The next prime is 6312932663. The reversal of 6312932640 is 462392136.

6312932640 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 9 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5085971856 + 1226960784 = 71316^2 + 35028^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6312932595 and 6312932604.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 630070 + ... + 640010.

Almost surely, 2^6312932640 is an apocalyptic number.

6312932640 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 6312932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959725086).

6312932640 is an abundant number, since it is smaller than the sum of its proper divisors (19606517532).

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

6312932640 is a wasteful number, since it uses less digits than its factorization.

6312932640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9982 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6312932640 is about 79453.9655398017. The cubic root of 6312932640 is about 1848.1776688686.

The spelling of 6312932640 in words is "six billion, three hundred twelve million, nine hundred thirty-two thousand, six hundred forty".