36974568960 has 720 divisors, whose sum is σ = 154604385936. Its totient is φ = 8444362752.

The previous prime is 36974568959. The next prime is 36974568977. The reversal of 36974568960 is 6986547963.

36974568960 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 4 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481314 + ... + 30482526.

Almost surely, 2^36974568960 is an apocalyptic number.

36974568960 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 36974568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77302192968).

36974568960 is an abundant number, since it is smaller than the sum of its proper divisors (117629816976).

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

36974568960 is an equidigital number, since it uses as much as digits as its factorization.

36974568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 36974568960 in words is "thirty-six billion, nine hundred seventy-four million, five hundred sixty-eight thousand, nine hundred sixty".