6315732864 has 256 divisors, whose sum is σ = 21608985600. Its totient is φ = 1778595840.

The previous prime is 6315732811. The next prime is 6315732877. The reversal of 6315732864 is 4682375136.

6315732864 is a `hidden beast` number, since 6 + 315 + 7 + 328 + 6 + 4 = 666.

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, 1715794 + ... + 1719470.

It is an arithmetic number, because the mean of its divisors is an integer number (84410100).

Almost surely, 2^6315732864 is an apocalyptic number.

6315732864 is a gapful number since it is divisible by the number (64) 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 6315732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804492800).

6315732864 is an abundant number, since it is smaller than the sum of its proper divisors (15293252736).

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

6315732864 is a wasteful number, since it uses less digits than its factorization.

6315732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3760 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 6315732864 is about 79471.5852616519. The cubic root of 6315732864 is about 1848.4508935195.

The spelling of 6315732864 in words is "six billion, three hundred fifteen million, seven hundred thirty-two thousand, eight hundred sixty-four".