164296568960 has 256 divisors, whose sum is σ = 426492518400. Its totient is φ = 60321853440.

The previous prime is 164296568927. The next prime is 164296568981. The reversal of 164296568960 is 69865692461.

It is a junction number, because it is equal to n+sod(n) for n = 164296568893 and 164296568902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58865165 + ... + 58867955.

It is an arithmetic number, because the mean of its divisors is an integer number (1665986400).

Almost surely, 2^164296568960 is an apocalyptic number.

164296568960 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 164296568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213246259200).

164296568960 is an abundant number, since it is smaller than the sum of its proper divisors (262195949440).

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

164296568960 is a wasteful number, since it uses less digits than its factorization.

164296568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 62.

The spelling of 164296568960 in words is "one hundred sixty-four billion, two hundred ninety-six million, five hundred sixty-eight thousand, nine hundred sixty".