8004224256 has 144 divisors (see below), whose sum is σ = 24621206400. Its totient is φ = 2261090304.

The previous prime is 8004224219. The next prime is 8004224269. The reversal of 8004224256 is 6524224008.

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, 470100 + ... + 486828.

It is an arithmetic number, because the mean of its divisors is an integer number (170980600).

Almost surely, 2^8004224256 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 8004224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310603200).

8004224256 is an abundant number, since it is smaller than the sum of its proper divisors (16616982144).

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

8004224256 is a wasteful number, since it uses less digits than its factorization.

8004224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16844 (or 16830 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 8004224256 is about 89466.3302924625. The cubic root of 8004224256 is about 2000.3519593920.

The spelling of 8004224256 in words is "eight billion, four million, two hundred twenty-four thousand, two hundred fifty-six".