7864353952 has 96 divisors (see below), whose sum is σ = 20176998912. Its totient is φ = 2928144384.

The previous prime is 7864353949. The next prime is 7864353967. The reversal of 7864353952 is 2593534687.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 7864353952.

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 15 ways as a sum of consecutive naturals, for example, 29928 + ... + 128935.

It is an arithmetic number, because the mean of its divisors is an integer number (210177072).

Almost surely, 2^7864353952 is an apocalyptic number.

It is an amenable number.

7864353952 is an abundant number, since it is smaller than the sum of its proper divisors (12312644960).

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

7864353952 is a wasteful number, since it uses less digits than its factorization.

7864353952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158910 (or 158902 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 52.

The square root of 7864353952 is about 88681.1927750185. The cubic root of 7864353952 is about 1988.6316655891.

The spelling of 7864353952 in words is "seven billion, eight hundred sixty-four million, three hundred fifty-three thousand, nine hundred fifty-two".