809164234320 has 320 divisors, whose sum is σ = 2871169566720. Its totient is φ = 186862381056.

The previous prime is 809164234303. The next prime is 809164234343. The reversal of 809164234320 is 23432461908.

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, 6039579 + ... + 6172101.

It is an arithmetic number, because the mean of its divisors is an integer number (8972404896).

Almost surely, 2^809164234320 is an apocalyptic number.

809164234320 is a gapful number since it is divisible by the number (80) 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 809164234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435584783360).

809164234320 is an abundant number, since it is smaller than the sum of its proper divisors (2062005332400).

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

809164234320 is a wasteful number, since it uses less digits than its factorization.

809164234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132674 (or 132668 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 809164234320 in words is "eight hundred nine billion, one hundred sixty-four million, two hundred thirty-four thousand, three hundred twenty".