8004365376 has 168 divisors, whose sum is σ = 24787335744. Its totient is φ = 2233082880.

The previous prime is 8004365339. The next prime is 8004365387. The reversal of 8004365376 is 6735634008.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2483446 + ... + 2486666.

Almost surely, 2^8004365376 is an apocalyptic number.

8004365376 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004365376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393667872).

8004365376 is an abundant number, since it is smaller than the sum of its proper divisors (16782970368).

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

8004365376 is a wasteful number, since it uses less digits than its factorization.

8004365376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 8004365376 is about 89467.1189655730. The cubic root of 8004365376 is about 2000.3637151850.

The spelling of 8004365376 in words is "eight billion, four million, three hundred sixty-five thousand, three hundred seventy-six".