36975697920 has 1008 divisors, whose sum is σ = 157331846880. Its totient is φ = 7993294848.

The previous prime is 36975697909. The next prime is 36975697937. The reversal of 36975697920 is 2979657963.

36975697920 is a `hidden beast` number, since 3 + 69 + 7 + 569 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 415457236 + ... + 415457324.

Almost surely, 2^36975697920 is an apocalyptic number.

36975697920 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 36975697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78665923440).

36975697920 is an abundant number, since it is smaller than the sum of its proper divisors (120356148960).

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

36975697920 is a wasteful number, since it uses less digits than its factorization.

36975697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 36975697920 in words is "thirty-six billion, nine hundred seventy-five million, six hundred ninety-seven thousand, nine hundred twenty".