8007513864 has 64 divisors (see below), whose sum is σ = 22891559040. Its totient is φ = 2286566400.

The previous prime is 8007513853. The next prime is 8007513929. The reversal of 8007513864 is 4683157008.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306832 + ... + 331904.

It is an arithmetic number, because the mean of its divisors is an integer number (357680610).

Almost surely, 2^8007513864 is an apocalyptic number.

8007513864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8007513864 is an abundant number, since it is smaller than the sum of its proper divisors (14884045176).

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

8007513864 is a wasteful number, since it uses less digits than its factorization.

8007513864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26990 (or 26986 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8007513864 is about 89484.7130184815. The cubic root of 8007513864 is about 2000.6259594003.

It can be divided in two parts, 80075 and 13864, that added together give a palindrome (93939).

The spelling of 8007513864 in words is "eight billion, seven million, five hundred thirteen thousand, eight hundred sixty-four".