7972248960 has 512 divisors, whose sum is σ = 31749580800. Its totient is φ = 1875861504.

The previous prime is 7972248929. The next prime is 7972248971. The reversal of 7972248960 is 698422797.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7972248897 and 7972248906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5165949 + ... + 5167491.

It is an arithmetic number, because the mean of its divisors is an integer number (62010900).

Almost surely, 2^7972248960 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 7972248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874790400).

7972248960 is an abundant number, since it is smaller than the sum of its proper divisors (23777331840).

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

7972248960 is a wasteful number, since it uses less digits than its factorization.

7972248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7972248960 is about 89287.4513019607. The cubic root of 7972248960 is about 1997.6847341396.

The spelling of 7972248960 in words is "seven billion, nine hundred seventy-two million, two hundred forty-eight thousand, nine hundred sixty".