7972920960 has 192 divisors, whose sum is σ = 25782066720. Its totient is φ = 2095550464.

The previous prime is 7972920941. The next prime is 7972920971. The reversal of 7972920960 is 690292797.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40471582 + ... + 40471778.

Almost surely, 2^7972920960 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 7972920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12891033360).

7972920960 is an abundant number, since it is smaller than the sum of its proper divisors (17809145760).

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

7972920960 is a wasteful number, since it uses less digits than its factorization.

7972920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The square root of 7972920960 is about 89291.2143494532. The cubic root of 7972920960 is about 1997.7408624429.

The spelling of 7972920960 in words is "seven billion, nine hundred seventy-two million, nine hundred twenty thousand, nine hundred sixty".