36768288960 has 560 divisors, whose sum is σ = 141462252000. Its totient is φ = 8989913088.

The previous prime is 36768288839. The next prime is 36768289031. The reversal of 36768288960 is 6988286763.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246766966 + ... + 246767114.

Almost surely, 2^36768288960 is an apocalyptic number.

36768288960 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 36768288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70731126000).

36768288960 is an abundant number, since it is smaller than the sum of its proper divisors (104693963040).

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

36768288960 is an equidigital number, since it uses as much as digits as its factorization.

36768288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 36768288960 in words is "thirty-six billion, seven hundred sixty-eight million, two hundred eighty-eight thousand, nine hundred sixty".