809325680640 has 384 divisors, whose sum is σ = 2634841198080. Its totient is φ = 212051165184.

The previous prime is 809325680623. The next prime is 809325680699. The reversal of 809325680640 is 46086523908.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433488987 + ... + 433490853.

It is an arithmetic number, because the mean of its divisors is an integer number (6861565620).

Almost surely, 2^809325680640 is an apocalyptic number.

809325680640 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 809325680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317420599040).

809325680640 is an abundant number, since it is smaller than the sum of its proper divisors (1825515517440).

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

809325680640 is a wasteful number, since it uses less digits than its factorization.

809325680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 809325680640 in words is "eight hundred nine billion, three hundred twenty-five million, six hundred eighty thousand, six hundred forty".