7972584756 has 48 divisors (see below), whose sum is σ = 19801857600. Its totient is φ = 2489363712.

The previous prime is 7972584751. The next prime is 7972584757. The reversal of 7972584756 is 6574852797.

It is a self number, because there is not a number n which added to its sum of digits gives 7972584756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972584751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176155 + ... + 216738.

It is an arithmetic number, because the mean of its divisors is an integer number (412538700).

Almost surely, 2^7972584756 is an apocalyptic number.

7972584756 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

7972584756 is an abundant number, since it is smaller than the sum of its proper divisors (11829272844).

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

7972584756 is a wasteful number, since it uses less digits than its factorization.

7972584756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393008 (or 393006 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 60.

The square root of 7972584756 is about 89289.3317031772. The cubic root of 7972584756 is about 1997.7127816465.

The spelling of 7972584756 in words is "seven billion, nine hundred seventy-two million, five hundred eighty-four thousand, seven hundred fifty-six".