8007032364 has 48 divisors (see below), whose sum is σ = 19674305280. Its totient is φ = 2527519680.

The previous prime is 8007032357. The next prime is 8007032401. The reversal of 8007032364 is 4632307008.

It is a super-2 number, since 2×8007032364² (a number of 21 digits) contains 22 as substring.

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, 728937 + ... + 739839.

It is an arithmetic number, because the mean of its divisors is an integer number (409881360).

Almost surely, 2^8007032364 is an apocalyptic number.

It is an amenable number.

8007032364 is an abundant number, since it is smaller than the sum of its proper divisors (11667272916).

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

8007032364 is a wasteful number, since it uses less digits than its factorization.

8007032364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14150 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 8007032364 is about 89482.0225743697. The cubic root of 8007032364 is about 2000.5858587014.

The spelling of 8007032364 in words is "eight billion, seven million, thirty-two thousand, three hundred sixty-four".