8564113800 has 720 divisors, whose sum is σ = 34752189780. Its totient is φ = 1946419200.

The previous prime is 8564113777. The next prime is 8564113807. The reversal of 8564113800 is 83114658.

8564113800 is a `hidden beast` number, since 8 + 5 + 641 + 1 + 3 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6948556164 + 1615557636 = 83358^2 + 40194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8564113807) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 33323272 + ... + 33323528.

Almost surely, 2^8564113800 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 8564113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376094890).

8564113800 is an abundant number, since it is smaller than the sum of its proper divisors (26188075980).

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

8564113800 is a wasteful number, since it uses less digits than its factorization.

8564113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8564113800 is about 92542.4972647702. The cubic root of 8564113800 is about 2045.9458882671.

The spelling of 8564113800 in words is "eight billion, five hundred sixty-four million, one hundred thirteen thousand, eight hundred".