865684486568 has 64 divisors (see below), whose sum is σ = 1835702481600. Its totient is φ = 379110161920.

The previous prime is 865684486549. The next prime is 865684486573.

865684486568 is nontrivially palindromic in base 10.

865684486568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×865684486568⁴ (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 865684486495 and 865684486504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828596 + ... + 1554972.

It is an arithmetic number, because the mean of its divisors is an integer number (28682851275).

Almost surely, 2^865684486568 is an apocalyptic number.

865684486568 is a gapful number since it is divisible by the number (88) 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 865684486568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917851240800).

865684486568 is an abundant number, since it is smaller than the sum of its proper divisors (970017995032).

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

865684486568 is a wasteful number, since it uses less digits than its factorization.

865684486568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726890 (or 726886 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 74.

The spelling of 865684486568 in words is "eight hundred sixty-five billion, six hundred eighty-four million, four hundred eighty-six thousand, five hundred sixty-eight".