36500868768 has 288 divisors, whose sum is σ = 119054541312. Its totient is φ = 9587635200.

The previous prime is 36500868709. The next prime is 36500868791. The reversal of 36500868768 is 86786800563.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37590523 + ... + 37591493.

It is an arithmetic number, because the mean of its divisors is an integer number (413383824).

Almost surely, 2^36500868768 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 36500868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59527270656).

36500868768 is an abundant number, since it is smaller than the sum of its proper divisors (82553672544).

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

36500868768 is a wasteful number, since it uses less digits than its factorization.

36500868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 36500868768 in words is "thirty-six billion, five hundred million, eight hundred sixty-eight thousand, seven hundred sixty-eight".