809968093974720 has 448 divisors, whose sum is σ = 3031459611033600. Its totient is φ = 203012304445440.

The previous prime is 809968093974719. The next prime is 809968093974821. The reversal of 809968093974720 is 27479390869908.

809968093974720 is a `hidden beast` number, since 8 + 0 + 9 + 96 + 80 + 9 + 397 + 47 + 20 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 809968093974720.

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, 1423060 + ... + 40273580.

Almost surely, 2^{809968093974720} is an apocalyptic number.

809968093974720 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 809968093974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515729805516800).

809968093974720 is an abundant number, since it is smaller than the sum of its proper divisors (2221491517058880).

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

809968093974720 is a wasteful number, since it uses less digits than its factorization.

809968093974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850693 (or 38850677 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 809968093974720 in words is "eight hundred nine trillion, nine hundred sixty-eight billion, ninety-three million, nine hundred seventy-four thousand, seven hundred twenty".