36774818136 has 384 divisors, whose sum is σ = 125450956800. Its totient is φ = 9495429120.

The previous prime is 36774818089. The next prime is 36774818137. The reversal of 36774818136 is 63181847763.

36774818136 is a `hidden beast` number, since 367 + 74 + 8 + 181 + 36 = 666.

36774818136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36774818137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21669640 + ... + 21671336.

It is an arithmetic number, because the mean of its divisors is an integer number (326695200).

Almost surely, 2^36774818136 is an apocalyptic number.

36774818136 is a gapful number since it is divisible by the number (36) 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 36774818136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62725478400).

36774818136 is an abundant number, since it is smaller than the sum of its proper divisors (88676138664).

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

36774818136 is a wasteful number, since it uses less digits than its factorization.

36774818136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1832 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 36774818136 in words is "thirty-six billion, seven hundred seventy-four million, eight hundred eighteen thousand, one hundred thirty-six".