36766164672 has 168 divisors, whose sum is σ = 109400279040. Its totient is φ = 11792770560.

The previous prime is 36766164653. The next prime is 36766164679. The reversal of 36766164672 is 27646166763.

36766164672 is a `hidden beast` number, since 367 + 66 + 164 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (36766164679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3190473 + ... + 3201975.

Almost surely, 2^36766164672 is an apocalyptic number.

36766164672 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 36766164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54700139520).

36766164672 is an abundant number, since it is smaller than the sum of its proper divisors (72634114368).

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

36766164672 is a wasteful number, since it uses less digits than its factorization.

36766164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731 (or 11718 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 36766164672 in words is "thirty-six billion, seven hundred sixty-six million, one hundred sixty-four thousand, six hundred seventy-two".