686460953568 has 576 divisors, whose sum is σ = 2207102349312. Its totient is φ = 185140961280.

The previous prime is 686460953483. The next prime is 686460953573. The reversal of 686460953568 is 865359064686.

686460953568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 686460953499 and 686460953508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321225396 + ... + 321227532.

It is an arithmetic number, because the mean of its divisors is an integer number (3831774912).

Almost surely, 2^686460953568 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 686460953568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103551174656).

686460953568 is an abundant number, since it is smaller than the sum of its proper divisors (1520641395744).

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

686460953568 is a wasteful number, since it uses less digits than its factorization.

686460953568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 686460953568 in words is "six hundred eighty-six billion, four hundred sixty million, nine hundred fifty-three thousand, five hundred sixty-eight".