36975151164672 has 1728 divisors, whose sum is σ = 134324403360000. Its totient is φ = 10117684297728.

The previous prime is 36975151164631. The next prime is 36975151164683. The reversal of 36975151164672 is 27646115157963.

36975151164672 is a `hidden beast` number, since 3 + 6 + 9 + 7 + 5 + 1 + 511 + 6 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 74098499079 + ... + 74098499577.

Almost surely, 2^{36975151164672} is an apocalyptic number.

36975151164672 is a gapful number since it is divisible by the number (32) 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 36975151164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162201680000).

36975151164672 is an abundant number, since it is smaller than the sum of its proper divisors (97349252195328).

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

36975151164672 is an frugal number, since it uses more digits than its factorization.

36975151164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 621 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 36975151164672 in words is "thirty-six trillion, nine hundred seventy-five billion, one hundred fifty-one million, one hundred sixty-four thousand, six hundred seventy-two".