8004120576 has 104 divisors (see below), whose sum is σ = 22465619520. Its totient is φ = 2527543296.

The previous prime is 8004120569. The next prime is 8004120581. The reversal of 8004120576 is 6750214008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216331 + ... + 250613.

Almost surely, 2^8004120576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8004120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232809760).

8004120576 is an abundant number, since it is smaller than the sum of its proper divisors (14461498944).

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

8004120576 is a wasteful number, since it uses less digits than its factorization.

8004120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34329 (or 34307 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 8004120576 is about 89465.7508547265. The cubic root of 8004120576 is about 2000.3433223948.

The spelling of 8004120576 in words is "eight billion, four million, one hundred twenty thousand, five hundred seventy-six".