809168799142704 has 720 divisors, whose sum is σ = 2965102118175744. Its totient is φ = 187748199475200.

The previous prime is 809168799142681. The next prime is 809168799142727. The reversal of 809168799142704 is 407241997861908.

It is an interprime number because it is at equal distance from previous prime (809168799142681) and next prime (809168799142727).

It is a super-3 number, since 3×809168799142704³ (a number of 46 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132558502 + ... + 138528314.

Almost surely, 2^{809168799142704} is an apocalyptic number.

809168799142704 is a gapful number since it is divisible by the number (84) 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 809168799142704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482551059087872).

809168799142704 is an abundant number, since it is smaller than the sum of its proper divisors (2155933319033040).

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

809168799142704 is a wasteful number, since it uses less digits than its factorization.

809168799142704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969906 (or 5969880 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 75.

The spelling of 809168799142704 in words is "eight hundred nine trillion, one hundred sixty-eight billion, seven hundred ninety-nine million, one hundred forty-two thousand, seven hundred four".