36879928680 has 512 divisors, whose sum is σ = 136638627840. Its totient is φ = 7781114880.

The previous prime is 36879928667. The next prime is 36879928681. The reversal of 36879928680 is 8682997863.

It is not an unprimeable number, because it can be changed into a prime (36879928681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85568065 + ... + 85568495.

It is an arithmetic number, because the mean of its divisors is an integer number (266872320).

Almost surely, 2^36879928680 is an apocalyptic number.

36879928680 is a gapful number since it is divisible by the number (30) 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 36879928680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68319313920).

36879928680 is an abundant number, since it is smaller than the sum of its proper divisors (99758699160).

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

36879928680 is a wasteful number, since it uses less digits than its factorization.

36879928680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 36879928680 in words is "thirty-six billion, eight hundred seventy-nine million, nine hundred twenty-eight thousand, six hundred eighty".