164721172320 has 240 divisors, whose sum is σ = 590008125168. Its totient is φ = 43269811200.

The previous prime is 164721172313. The next prime is 164721172333. The reversal of 164721172320 is 23271127461.

164721172320 is a `hidden beast` number, since 1 + 647 + 2 + 1 + 1 + 7 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×164721172320² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 773470 + ... + 963170.

Almost surely, 2^164721172320 is an apocalyptic number.

164721172320 is a gapful number since it is divisible by the number (10) 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 164721172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295004062584).

164721172320 is an abundant number, since it is smaller than the sum of its proper divisors (425286952848).

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

164721172320 is a wasteful number, since it uses less digits than its factorization.

164721172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189795 (or 189778 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 164721172320 its reverse (23271127461), we get a palindrome (187992299781).

The spelling of 164721172320 in words is "one hundred sixty-four billion, seven hundred twenty-one million, one hundred seventy-two thousand, three hundred twenty".