36168944232960 has 5760 divisors, whose sum is σ = 181080341544960. Its totient is φ = 6554832076800.

The previous prime is 36168944232947. The next prime is 36168944232983. The reversal of 36168944232960 is 6923244986163.

36168944232960 is a `hidden beast` number, since 3 + 6 + 1 + 68 + 94 + 423 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 284794836417 + ... + 284794836543.

It is an arithmetic number, because the mean of its divisors is an integer number (31437559296).

Almost surely, 2^{36168944232960} is an apocalyptic number.

36168944232960 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 36168944232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90540170772480).

36168944232960 is an abundant number, since it is smaller than the sum of its proper divisors (144911397312000).

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

36168944232960 is a wasteful number, since it uses less digits than its factorization.

36168944232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 36168944232960 in words is "thirty-six trillion, one hundred sixty-eight billion, nine hundred forty-four million, two hundred thirty-two thousand, nine hundred sixty".