6312052656 has 600 divisors, whose sum is σ = 23723124480. Its totient is φ = 1583442432.

The previous prime is 6312052651. The next prime is 6312052661. The reversal of 6312052656 is 6562502136.

It is a happy number.

6312052656 is a `hidden beast` number, since 6 + 3 + 120 + 526 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6312052651) and next prime (6312052661).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6312052656.

It is not an unprimeable number, because it can be changed into a prime (6312052651) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35262775 + ... + 35262953.

Almost surely, 2^6312052656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312052656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861562240).

6312052656 is an abundant number, since it is smaller than the sum of its proper divisors (17411071824).

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

6312052656 is a wasteful number, since it uses less digits than its factorization.

6312052656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6312052656 is about 79448.4276496395. The cubic root of 6312052656 is about 1848.0917900098.

The spelling of 6312052656 in words is "six billion, three hundred twelve million, fifty-two thousand, six hundred fifty-six".