817893687168 has 640 divisors, whose sum is σ = 2655919411200. Its totient is φ = 249185341440.

The previous prime is 817893687157. The next prime is 817893687227. The reversal of 817893687168 is 861786398718.

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

It is a junction number, because it is equal to n+sod(n) for n = 817893687096 and 817893687105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438078171 + ... + 438080037.

It is an arithmetic number, because the mean of its divisors is an integer number (4149874080).

Almost surely, 2^817893687168 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 817893687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327959705600).

817893687168 is an abundant number, since it is smaller than the sum of its proper divisors (1838025724032).

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

817893687168 is a wasteful number, since it uses less digits than its factorization.

817893687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1979 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 817893687168 in words is "eight hundred seventeen billion, eight hundred ninety-three million, six hundred eighty-seven thousand, one hundred sixty-eight".