164875332504960 has 6912 divisors, whose sum is σ = 812076613770240. Its totient is φ = 31269224448000.

The previous prime is 164875332504923. The next prime is 164875332504979. The reversal of 164875332504960 is 69405233578461.

164875332504960 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 7 + 5 + 3 + 32 + 504 + 96 + 0 = 666.

It is a super-2 number, since 2×164875332504960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2322187781725 + ... + 2322187781795.

It is an arithmetic number, because the mean of its divisors is an integer number (117487936020).

It is a 1-persistent number, because it is pandigital, but 2⋅164875332504960 = 329750665009920 is not.

Almost surely, 2^{164875332504960} is an apocalyptic number.

164875332504960 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 164875332504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406038306885120).

164875332504960 is an abundant number, since it is smaller than the sum of its proper divisors (647201281265280).

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

164875332504960 is a wasteful number, since it uses less digits than its factorization.

164875332504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 164875332504960 in words is "one hundred sixty-four trillion, eight hundred seventy-five billion, three hundred thirty-two million, five hundred four thousand, nine hundred sixty".