36718666920 has 192 divisors, whose sum is σ = 128889306000. Its totient is φ = 9012142080.

The previous prime is 36718666909. The next prime is 36718666921. The reversal of 36718666920 is 2966681763.

It can be written as a sum of positive squares in 8 ways, for example, as 4255996644 + 32462670276 = 65238^2 + 180174^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36718666921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622080 + ... + 1644560.

Almost surely, 2^36718666920 is an apocalyptic number.

36718666920 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 36718666920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64444653000).

36718666920 is an abundant number, since it is smaller than the sum of its proper divisors (92170639080).

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

36718666920 is a wasteful number, since it uses less digits than its factorization.

36718666920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22860 (or 22853 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 36718666920 in words is "thirty-six billion, seven hundred eighteen million, six hundred sixty-six thousand, nine hundred twenty".