6306977952 has 384 divisors, whose sum is σ = 21555072000. Its totient is φ = 1773757440.

The previous prime is 6306977909. The next prime is 6306977983. The reversal of 6306977952 is 2597796036.

It is a super-2 number, since 2×6306977952² = 79555941774028228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9570199 + ... + 9570857.

It is an arithmetic number, because the mean of its divisors is an integer number (56133000).

Almost surely, 2^6306977952 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 6306977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777536000).

6306977952 is an abundant number, since it is smaller than the sum of its proper divisors (15248094048).

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

6306977952 is a wasteful number, since it uses less digits than its factorization.

6306977952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 6306977952 is about 79416.4841327038. The cubic root of 6306977952 is about 1847.5963868087.

The spelling of 6306977952 in words is "six billion, three hundred six million, nine hundred seventy-seven thousand, nine hundred fifty-two".