8004033632 has 48 divisors (see below), whose sum is σ = 18956931840. Its totient is φ = 3249756288.

The previous prime is 8004033629. The next prime is 8004033637. The reversal of 8004033632 is 2363304008.

It is a super-2 number, since 2×8004033632² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8004033595 and 8004033604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004033637) 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 7 ways as a sum of consecutive naturals, for example, 936068 + ... + 944579.

It is an arithmetic number, because the mean of its divisors is an integer number (394936080).

Almost surely, 2^8004033632 is an apocalyptic number.

It is an amenable number.

8004033632 is an abundant number, since it is smaller than the sum of its proper divisors (10952898208).

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

8004033632 is a wasteful number, since it uses less digits than its factorization.

8004033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880683 (or 1880675 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 8004033632 is about 89465.2649467937. The cubic root of 8004033632 is about 2000.3360795221.

The spelling of 8004033632 in words is "eight billion, four million, thirty-three thousand, six hundred thirty-two".