8004724224 has 160 divisors (see below), whose sum is σ = 25431943680. Its totient is φ = 2187558912.

The previous prime is 8004724199. The next prime is 8004724237. The reversal of 8004724224 is 4224274008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231112 + ... + 263480.

It is an arithmetic number, because the mean of its divisors is an integer number (158949648).

Almost surely, 2^8004724224 is an apocalyptic number.

8004724224 is a gapful number since it is divisible by the number (84) 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 8004724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715971840).

8004724224 is an abundant number, since it is smaller than the sum of its proper divisors (17427219456).

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

8004724224 is a wasteful number, since it uses less digits than its factorization.

8004724224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32420 (or 32404 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 8004724224 is about 89469.1244173095. The cubic root of 8004724224 is about 2000.3936078647.

The spelling of 8004724224 in words is "eight billion, four million, seven hundred twenty-four thousand, two hundred twenty-four".