7972930560 has 352 divisors, whose sum is σ = 30160661760. Its totient is φ = 1758855168.

The previous prime is 7972930481. The next prime is 7972930573. The reversal of 7972930560 is 650392797.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3116802 + ... + 3119358.

Almost surely, 2^7972930560 is an apocalyptic number.

7972930560 is a gapful number since it is divisible by the number (70) 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 7972930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080330880).

7972930560 is an abundant number, since it is smaller than the sum of its proper divisors (22187731200).

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

7972930560 is a wasteful number, since it uses less digits than its factorization.

7972930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 7972930560 is about 89291.2681061256. The cubic root of 7972930560 is about 1997.7416642530.

The spelling of 7972930560 in words is "seven billion, nine hundred seventy-two million, nine hundred thirty thousand, five hundred sixty".