36164544600 has 96 divisors (see below), whose sum is σ = 112247190720. Its totient is φ = 9632085120.

The previous prime is 36164544589. The next prime is 36164544649. The reversal of 36164544600 is 644546163.

It is a super-2 number, since 2×36164544600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459759 + ... + 532641.

It is an arithmetic number, because the mean of its divisors is an integer number (1169241570).

Almost surely, 2^36164544600 is an apocalyptic number.

36164544600 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 36164544600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56123595360).

36164544600 is an abundant number, since it is smaller than the sum of its proper divisors (76082646120).

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

36164544600 is a wasteful number, since it uses less digits than its factorization.

36164544600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73729 (or 73720 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 36164544600 in words is "thirty-six billion, one hundred sixty-four million, five hundred forty-four thousand, six hundred".