8613324864 has 105 divisors (see below), whose sum is σ = 25552416637. Its totient is φ = 2868880896.

The previous prime is 8613324799. The next prime is 8613324869. The reversal of 8613324864 is 4684233168.

The square root of 8613324864 is 92808.

It is a perfect power (a square), and thus also a powerful number.

8613324864 is a `hidden beast` number, since 8 + 613 + 3 + 24 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6987622464 + 1625702400 = 83592^2 + 40320^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8613324869) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6681532 + ... + 6682820.

Almost surely, 2^8613324864 is an apocalyptic number.

8613324864 is the 92808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8613324864

8613324864 is an abundant number, since it is smaller than the sum of its proper divisors (16939091773).

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

8613324864 is an frugal number, since it uses more digits than its factorization.

8613324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 1294 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The cubic root of 8613324864 is about 2049.8572071073.

The spelling of 8613324864 in words is "eight billion, six hundred thirteen million, three hundred twenty-four thousand, eight hundred sixty-four".