809698885632 has 1024 divisors, whose sum is σ = 3012303168000. Its totient is φ = 209278992384.

The previous prime is 809698885627. The next prime is 809698885643. The reversal of 809698885632 is 236588896908.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×809698885632² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 7165476808 + ... + 7165476920.

Almost surely, 2^809698885632 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 809698885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506151584000).

809698885632 is an abundant number, since it is smaller than the sum of its proper divisors (2202604282368).

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

809698885632 is a wasteful number, since it uses less digits than its factorization.

809698885632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 809698885632 in words is "eight hundred nine billion, six hundred ninety-eight million, eight hundred eighty-five thousand, six hundred thirty-two".