809365864960 has 80 divisors (see below), whose sum is σ = 1944830284056. Its totient is φ = 323037462528.

The previous prime is 809365864927. The next prime is 809365864997. The reversal of 809365864960 is 69468563908.

It can be written as a sum of positive squares in 4 ways, for example, as 809049878784 + 315986176 = 899472^2 + 17776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 809365864892 and 809365864901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824014 + ... + 1515826.

Almost surely, 2^809365864960 is an apocalyptic number.

809365864960 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 809365864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972415142028).

809365864960 is an abundant number, since it is smaller than the sum of its proper divisors (1135464419096).

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

809365864960 is an equidigital number, since it uses as much as digits as its factorization.

809365864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692293 (or 692277 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 809365864960 in words is "eight hundred nine billion, three hundred sixty-five million, eight hundred sixty-four thousand, nine hundred sixty".