36608407056 has 480 divisors, whose sum is σ = 122657982720. Its totient is φ = 10371981312.

The previous prime is 36608407049. The next prime is 36608407103. The reversal of 36608407056 is 65070480663.

36608407056 is a `hidden beast` number, since 36 + 608 + 4 + 0 + 7 + 0 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108630120 + ... + 108630456.

It is an arithmetic number, because the mean of its divisors is an integer number (255537464).

Almost surely, 2^36608407056 is an apocalyptic number.

36608407056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36608407056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61328991360).

36608407056 is an abundant number, since it is smaller than the sum of its proper divisors (86049575664).

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

36608407056 is a wasteful number, since it uses less digits than its factorization.

36608407056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 36608407056 in words is "thirty-six billion, six hundred eight million, four hundred seven thousand, fifty-six".