7972275456 has 324 divisors, whose sum is σ = 24921559936. Its totient is φ = 2448230400.

The previous prime is 7972275427. The next prime is 7972275461. The reversal of 7972275456 is 6545722797.

It is a happy number.

7972275456 is a `hidden beast` number, since 7 + 9 + 72 + 27 + 545 + 6 = 666.

Its product of digits (7408800) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37783191 + ... + 37783401.

Almost surely, 2^7972275456 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 7972275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460779968).

7972275456 is an abundant number, since it is smaller than the sum of its proper divisors (16949284480).

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

7972275456 is a wasteful number, since it uses less digits than its factorization.

7972275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 270 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 7972275456 is about 89287.5996765508. The cubic root of 7972275456 is about 1997.6869472581.

The spelling of 7972275456 in words is "seven billion, nine hundred seventy-two million, two hundred seventy-five thousand, four hundred fifty-six".