7972920576 has 432 divisors, whose sum is σ = 25621360128. Its totient is φ = 2374041600.

The previous prime is 7972920533. The next prime is 7972920607. The reversal of 7972920576 is 6750292797.

It is a super-2 number, since 2×7972920576² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112294621 + ... + 112294691.

It is an arithmetic number, because the mean of its divisors is an integer number (59308704).

Almost surely, 2^7972920576 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 7972920576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810680064).

7972920576 is an abundant number, since it is smaller than the sum of its proper divisors (17648439552).

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

7972920576 is a wasteful number, since it uses less digits than its factorization.

7972920576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 7972920576 is about 89291.2121991856. The cubic root of 7972920576 is about 1997.7408303705.

The spelling of 7972920576 in words is "seven billion, nine hundred seventy-two million, nine hundred twenty thousand, five hundred seventy-six".