36317604960 has 384 divisors, whose sum is σ = 156446760960. Its totient is φ = 7662532608.

The previous prime is 36317604919. The next prime is 36317604979. The reversal of 36317604960 is 6940671363.

36317604960 is a `hidden beast` number, since 3 + 6 + 31 + 7 + 604 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346929 + ... + 439311.

It is an arithmetic number, because the mean of its divisors is an integer number (407413440).

Almost surely, 2^36317604960 is an apocalyptic number.

36317604960 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 36317604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78223380480).

36317604960 is an abundant number, since it is smaller than the sum of its proper divisors (120129156000).

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

36317604960 is a wasteful number, since it uses less digits than its factorization.

36317604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92427 (or 92413 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 36317604960 in words is "thirty-six billion, three hundred seventeen million, six hundred four thousand, nine hundred sixty".