8040468564 has 144 divisors (see below), whose sum is σ = 22331079680. Its totient is φ = 2522573280.

The previous prime is 8040468523. The next prime is 8040468577. The reversal of 8040468564 is 4658640408.

8040468564 is a `hidden beast` number, since 8 + 0 + 40 + 46 + 8 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008949 + ... + 3011619.

Almost surely, 2^8040468564 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 8040468564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165539840).

8040468564 is an abundant number, since it is smaller than the sum of its proper divisors (14290611116).

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

8040468564 is a wasteful number, since it uses less digits than its factorization.

8040468564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8040468564 is about 89668.6598762355. The cubic root of 8040468564 is about 2003.3667097859.

The spelling of 8040468564 in words is "eight billion, forty million, four hundred sixty-eight thousand, five hundred sixty-four".