164302195680 has 576 divisors, whose sum is σ = 680873776128. Its totient is φ = 35220602880.

The previous prime is 164302195633. The next prime is 164302195709. The reversal of 164302195680 is 86591203461.

164302195680 is a `hidden beast` number, since 1 + 64 + 3 + 0 + 21 + 9 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53291419 + ... + 53294501.

It is an arithmetic number, because the mean of its divisors is an integer number (1182072528).

Almost surely, 2^164302195680 is an apocalyptic number.

164302195680 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 164302195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340436888064).

164302195680 is an abundant number, since it is smaller than the sum of its proper divisors (516571580448).

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

164302195680 is a wasteful number, since it uses less digits than its factorization.

164302195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 164302195680 in words is "one hundred sixty-four billion, three hundred two million, one hundred ninety-five thousand, six hundred eighty".