164607570560 has 64 divisors (see below), whose sum is σ = 393875372520. Its totient is φ = 65782726656.

The previous prime is 164607570553. The next prime is 164607570679. The reversal of 164607570560 is 65075706461.

It can be written as a sum of positive squares in 4 ways, for example, as 89851261504 + 74756309056 = 299752^2 + 273416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 584852 + ... + 819308.

Almost surely, 2^164607570560 is an apocalyptic number.

164607570560 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 164607570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196937686260).

164607570560 is an abundant number, since it is smaller than the sum of its proper divisors (229267801960).

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

164607570560 is a wasteful number, since it uses less digits than its factorization.

164607570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235573 (or 235561 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 164607570560 in words is "one hundred sixty-four billion, six hundred seven million, five hundred seventy thousand, five hundred sixty".