8004465600 has 84 divisors (see below), whose sum is σ = 26261333304. Its totient is φ = 2134522880.

The previous prime is 8004465587. The next prime is 8004465619. The reversal of 8004465600 is 65644008.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 828999 + ... + 838598.

Almost surely, 2^8004465600 is an apocalyptic number.

8004465600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004465600 is an abundant number, since it is smaller than the sum of its proper divisors (18256867704).

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

8004465600 is a wasteful number, since it uses less digits than its factorization.

8004465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667622 (or 1667607 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 8004465600 is about 89467.6790802131. The cubic root of 8004465600 is about 2000.3720641132.

The spelling of 8004465600 in words is "eight billion, four million, four hundred sixty-five thousand, six hundred".