164557324800 has 1440 divisors, whose sum is σ = 683904798720. Its totient is φ = 37416960000.

The previous prime is 164557324781. The next prime is 164557324907. The reversal of 164557324800 is 8423755461.

164557324800 is a `hidden beast` number, since 1 + 64 + 557 + 32 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×164557324800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2317708765 + ... + 2317708835.

It is an arithmetic number, because the mean of its divisors is an integer number (474933888).

Almost surely, 2^164557324800 is an apocalyptic number.

164557324800 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 164557324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341952399360).

164557324800 is an abundant number, since it is smaller than the sum of its proper divisors (519347473920).

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

164557324800 is a wasteful number, since it uses less digits than its factorization.

164557324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 164557324800 in words is "one hundred sixty-four billion, five hundred fifty-seven million, three hundred twenty-four thousand, eight hundred".