36816631056 has 160 divisors (see below), whose sum is σ = 111425904000. Its totient is φ = 11606810112.

The previous prime is 36816630953. The next prime is 36816631067. The reversal of 36816631056 is 65013661863.

36816631056 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 6 + 631 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5356390 + ... + 5363258.

It is an arithmetic number, because the mean of its divisors is an integer number (696411900).

Almost surely, 2^36816631056 is an apocalyptic number.

36816631056 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 36816631056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55712952000).

36816631056 is an abundant number, since it is smaller than the sum of its proper divisors (74609272944).

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

36816631056 is a wasteful number, since it uses less digits than its factorization.

36816631056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 36816631056 in words is "thirty-six billion, eight hundred sixteen million, six hundred thirty-one thousand, fifty-six".