8001584472 has 32 divisors (see below), whose sum is σ = 22861670400. Its totient is φ = 2286166944.

The previous prime is 8001584467. The next prime is 8001584501. The reversal of 8001584472 is 2744851008.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8001584472.

It is a congruent number.

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, 23814072 + ... + 23814407.

It is an arithmetic number, because the mean of its divisors is an integer number (714427200).

Almost surely, 2^8001584472 is an apocalyptic number.

It is an amenable number.

8001584472 is an abundant number, since it is smaller than the sum of its proper divisors (14860085928).

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

8001584472 is a wasteful number, since it uses less digits than its factorization.

8001584472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47628495 (or 47628491 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 8001584472 is about 89451.5761292108. The cubic root of 8001584472 is about 2000.1320306171.

The spelling of 8001584472 in words is "eight billion, one million, five hundred eighty-four thousand, four hundred seventy-two".