164420636210640 has 60 divisors (see below), whose sum is σ = 552179303276484. Its totient is φ = 43845502989312.

The previous prime is 164420636210627. The next prime is 164420636210641. The reversal of 164420636210640 is 46012636024461.

164420636210640 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 0 + 636 + 2 + 1 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35393028233616 + 129027607977024 = 5949204^2 + 11359032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×164420636210640³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164420636210641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 114180996649 + ... + 114180998088.

Almost surely, 2^{164420636210640} is an apocalyptic number.

164420636210640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164420636210640 is an abundant number, since it is smaller than the sum of its proper divisors (387758667065844).

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

164420636210640 is a wasteful number, since it uses less digits than its factorization.

164420636210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228361994756 (or 228361994747 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 164420636210640 in words is "one hundred sixty-four trillion, four hundred twenty billion, six hundred thirty-six million, two hundred ten thousand, six hundred forty".