800017683696 has 960 divisors, whose sum is σ = 3016364083200. Its totient is φ = 195815854080.

The previous prime is 800017683667. The next prime is 800017683709. The reversal of 800017683696 is 696386710008.

It is a happy number.

It is a super-4 number, since 4×800017683696⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 912220410 + ... + 912221286.

It is an arithmetic number, because the mean of its divisors is an integer number (3142045920).

Almost surely, 2^800017683696 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 800017683696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508182041600).

800017683696 is an abundant number, since it is smaller than the sum of its proper divisors (2216346399504).

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

800017683696 is a wasteful number, since it uses less digits than its factorization.

800017683696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 800017683696 in words is "eight hundred billion, seventeen million, six hundred eighty-three thousand, six hundred ninety-six".