7972689600 has 168 divisors, whose sum is σ = 29063563920. Its totient is φ = 2126039040.

The previous prime is 7972689577. The next prime is 7972689601. The reversal of 7972689600 is 69862797.

7972689600 is a `hidden beast` number, since 7 + 9 + 7 + 26 + 8 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7972689601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49077 + ... + 135476.

Almost surely, 2^7972689600 is an apocalyptic number.

It is an amenable number.

7972689600 is an abundant number, since it is smaller than the sum of its proper divisors (21090874320).

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

7972689600 is a wasteful number, since it uses less digits than its factorization.

7972689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184584 (or 184563 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7972689600 is about 89289.9188038605. The cubic root of 7972689600 is about 1997.7215386259.

The spelling of 7972689600 in words is "seven billion, nine hundred seventy-two million, six hundred eighty-nine thousand, six hundred".