6411972952 has 96 divisors (see below), whose sum is σ = 15223541760. Its totient is φ = 2478168000.

The previous prime is 6411972937. The next prime is 6411972953. The reversal of 6411972952 is 2592791146.

It is a super-2 number, since 2×6411972952² = 82226794274359188608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411972953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856827 + ... + 864277.

It is an arithmetic number, because the mean of its divisors is an integer number (158578560).

Almost surely, 2^6411972952 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 6411972952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611770880).

6411972952 is an abundant number, since it is smaller than the sum of its proper divisors (8811568808).

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

6411972952 is a wasteful number, since it uses less digits than its factorization.

6411972952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613 (or 7598 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 6411972952 is about 80074.7959847542. The cubic root of 6411972952 is about 1857.7925938851.

The spelling of 6411972952 in words is "six billion, four hundred eleven million, nine hundred seventy-two thousand, nine hundred fifty-two".