8408613564 has 144 divisors (see below), whose sum is σ = 24129254240. Its totient is φ = 2544618240.

The previous prime is 8408613553. The next prime is 8408613601. The reversal of 8408613564 is 4653168048.

8408613564 is a `hidden beast` number, since 8 + 4 + 0 + 86 + 1 + 3 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765342 + ... + 776250.

Almost surely, 2^8408613564 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 8408613564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064627120).

8408613564 is an abundant number, since it is smaller than the sum of its proper divisors (15720640676).

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

8408613564 is a wasteful number, since it uses less digits than its factorization.

8408613564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8408613564 is about 91698.4927029883. The cubic root of 8408613564 is about 2033.4873012736.

The spelling of 8408613564 in words is "eight billion, four hundred eight million, six hundred thirteen thousand, five hundred sixty-four".