8724568320 has 360 divisors, whose sum is σ = 33624687096. Its totient is φ = 2147254272.

The previous prime is 8724568289. The next prime is 8724568339. The reversal of 8724568320 is 238654278.

8724568320 is a `hidden beast` number, since 87 + 2 + 4 + 568 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 8707129344 = 4176^2 + 93312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×8724568320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1344604 + ... + 1351076.

Almost surely, 2^8724568320 is an apocalyptic number.

8724568320 is a gapful number since it is divisible by the number (80) 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 8724568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812343548).

8724568320 is an abundant number, since it is smaller than the sum of its proper divisors (24900118776).

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

8724568320 is a wasteful number, since it uses less digits than its factorization.

8724568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8724568320 is about 93405.3977027024. The cubic root of 8724568320 is about 2058.6443086275.

The spelling of 8724568320 in words is "eight billion, seven hundred twenty-four million, five hundred sixty-eight thousand, three hundred twenty".