36441636120 has 192 divisors, whose sum is σ = 123240424320. Its totient is φ = 9331325952.

The previous prime is 36441636109. The next prime is 36441636163. The reversal of 36441636120 is 2163614463.

36441636120 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 1 + 636 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 876442 + ... + 917078.

It is an arithmetic number, because the mean of its divisors is an integer number (641877210).

Almost surely, 2^36441636120 is an apocalyptic number.

36441636120 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 36441636120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61620212160).

36441636120 is an abundant number, since it is smaller than the sum of its proper divisors (86798788200).

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

36441636120 is a wasteful number, since it uses less digits than its factorization.

36441636120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40754 (or 40747 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 36441636120 in words is "thirty-six billion, four hundred forty-one million, six hundred thirty-six thousand, one hundred twenty".