36664747720164 has 144 divisors (see below), whose sum is σ = 101128330478448. Its totient is φ = 11153583857664.

The previous prime is 36664747720031. The next prime is 36664747720171. The reversal of 36664747720164 is 46102774746663.

36664747720164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9980911110564 + 26683836609600 = 3159258^2 + 5165640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3871584 + ... + 9397800.

It is an arithmetic number, because the mean of its divisors is an integer number (702280072767).

Almost surely, 2^{36664747720164} is an apocalyptic number.

36664747720164 is a gapful number since it is divisible by the number (34) 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 36664747720164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50564165239224).

36664747720164 is an abundant number, since it is smaller than the sum of its proper divisors (64463582758284).

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

36664747720164 is a wasteful number, since it uses less digits than its factorization.

36664747720164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526574 (or 5526569 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 36664747720164 in words is "thirty-six trillion, six hundred sixty-four billion, seven hundred forty-seven million, seven hundred twenty thousand, one hundred sixty-four".