809684305920 has 1152 divisors, whose sum is σ = 3355798118400. Its totient is φ = 176645210112.

The previous prime is 809684305907. The next prime is 809684305957. The reversal of 809684305920 is 29503486908.

809684305920 is a `hidden beast` number, since 8 + 0 + 9 + 6 + 8 + 43 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 2114058049 + ... + 2114058431.

It is an arithmetic number, because the mean of its divisors is an integer number (2913019200).

Almost surely, 2^809684305920 is an apocalyptic number.

809684305920 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 809684305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677899059200).

809684305920 is an abundant number, since it is smaller than the sum of its proper divisors (2546113812480).

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

809684305920 is a wasteful number, since it uses less digits than its factorization.

809684305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 809684305920 in words is "eight hundred nine billion, six hundred eighty-four million, three hundred five thousand, nine hundred twenty".