6972640032 has 192 divisors, whose sum is σ = 20116905984. Its totient is φ = 2105118720.

The previous prime is 6972640009. The next prime is 6972640043. The reversal of 6972640032 is 2300462796.

It is a super-2 number, since 2×6972640032² = 97235418031697922048, which contains 22 as substring.

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, 14317293 + ... + 14317779.

It is an arithmetic number, because the mean of its divisors is an integer number (104775552).

Almost surely, 2^6972640032 is an apocalyptic number.

6972640032 is a gapful number since it is divisible by the number (62) 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 6972640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058452992).

6972640032 is an abundant number, since it is smaller than the sum of its proper divisors (13144265952).

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

6972640032 is a wasteful number, since it uses less digits than its factorization.

6972640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 6972640032 is about 83502.3354882964. The cubic root of 6972640032 is about 1910.4356554908.

The spelling of 6972640032 in words is "six billion, nine hundred seventy-two million, six hundred forty thousand, thirty-two".