8733852864 has 280 divisors, whose sum is σ = 28536887808. Its totient is φ = 2619164160.

The previous prime is 8733852857. The next prime is 8733852899. The reversal of 8733852864 is 4682583378.

8733852864 is a `hidden beast` number, since 87 + 3 + 38 + 528 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8733852864.

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, 5872729 + ... + 5874215.

Almost surely, 2^8733852864 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 8733852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268443904).

8733852864 is an abundant number, since it is smaller than the sum of its proper divisors (19803034944).

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

8733852864 is a wasteful number, since it uses less digits than its factorization.

8733852864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1606 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 8733852864 is about 93455.0847412809. The cubic root of 8733852864 is about 2059.3743083574.

The spelling of 8733852864 in words is "eight billion, seven hundred thirty-three million, eight hundred fifty-two thousand, eight hundred sixty-four".