7972392960 has 624 divisors, whose sum is σ = 32629798656. Its totient is φ = 1762394112.

The previous prime is 7972392937. The next prime is 7972393003. The reversal of 7972392960 is 692932797.

It is a junction number, because it is equal to n+sod(n) for n = 7972392897 and 7972392906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47738797 + ... + 47738963.

It is an arithmetic number, because the mean of its divisors is an integer number (52291344).

Almost surely, 2^7972392960 is an apocalyptic number.

7972392960 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 7972392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314899328).

7972392960 is an abundant number, since it is smaller than the sum of its proper divisors (24657405696).

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

7972392960 is a wasteful number, since it uses less digits than its factorization.

7972392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 7972392960 is about 89288.2576826315. The cubic root of 7972392960 is about 1997.6967618987.

The spelling of 7972392960 in words is "seven billion, nine hundred seventy-two million, three hundred ninety-two thousand, nine hundred sixty".