36766566144 has 360 divisors, whose sum is σ = 136689049728. Its totient is φ = 9549342720.

The previous prime is 36766566097. The next prime is 36766566181. The reversal of 36766566144 is 44166566763.

36766566144 is a `hidden beast` number, since 3 + 6 + 7 + 66 + 566 + 14 + 4 = 666.

It is a super-2 number, since 2×36766566144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1585159 + ... + 1608185.

Almost surely, 2^36766566144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36766566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68344524864).

36766566144 is an abundant number, since it is smaller than the sum of its proper divisors (99922483584).

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

36766566144 is a wasteful number, since it uses less digits than its factorization.

36766566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23073 (or 23050 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 36766566144 in words is "thirty-six billion, seven hundred sixty-six million, five hundred sixty-six thousand, one hundred forty-four".