7952733600 has 144 divisors (see below), whose sum is σ = 29584231488. Its totient is φ = 1817763840.

The previous prime is 7952733563. The next prime is 7952733617. The reversal of 7952733600 is 63372597.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219889 + ... + 253488.

It is an arithmetic number, because the mean of its divisors is an integer number (205446052).

Almost surely, 2^7952733600 is an apocalyptic number.

7952733600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7952733600 is an abundant number, since it is smaller than the sum of its proper divisors (21631497888).

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

7952733600 is a wasteful number, since it uses less digits than its factorization.

7952733600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473407 (or 473394 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 7952733600 is about 89178.1004507273. The cubic root of 7952733600 is about 1996.0533504347.

The spelling of 7952733600 in words is "seven billion, nine hundred fifty-two million, seven hundred thirty-three thousand, six hundred".