809345764032 has 224 divisors, whose sum is σ = 2382662467584. Its totient is φ = 240778137600.

The previous prime is 809345764013. The next prime is 809345764039. The reversal of 809345764032 is 230467543908.

It is not an unprimeable number, because it can be changed into a prime (809345764039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98805057 + ... + 98813247.

It is an arithmetic number, because the mean of its divisors is an integer number (10636886016).

Almost surely, 2^809345764032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809345764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191331233792).

809345764032 is an abundant number, since it is smaller than the sum of its proper divisors (1573316703552).

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

809345764032 is a wasteful number, since it uses less digits than its factorization.

809345764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 809345764032 in words is "eight hundred nine billion, three hundred forty-five million, seven hundred sixty-four thousand, thirty-two".