164933042560 has 512 divisors, whose sum is σ = 493689530880. Its totient is φ = 51764920320.

The previous prime is 164933042551. The next prime is 164933042581. The reversal of 164933042560 is 65240339461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353175447 + ... + 353175913.

It is an arithmetic number, because the mean of its divisors is an integer number (964237365).

Almost surely, 2^164933042560 is an apocalyptic number.

164933042560 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 164933042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246844765440).

164933042560 is an abundant number, since it is smaller than the sum of its proper divisors (328756488320).

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

164933042560 is a wasteful number, since it uses less digits than its factorization.

164933042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 164933042560 in words is "one hundred sixty-four billion, nine hundred thirty-three million, forty-two thousand, five hundred sixty".