686054976768 has 720 divisors, whose sum is σ = 2605924379520. Its totient is φ = 174763671552.

The previous prime is 686054976709. The next prime is 686054976781. The reversal of 686054976768 is 867679450686.

686054976768 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 549 + 7 + 6 + 76 + 8 = 666.

It is a super-2 number, since 2×686054976768² (a number of 24 digits) contains 22 as substring.

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 = 686054976696 and 686054976705.

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, 46876780 + ... + 46891412.

It is an arithmetic number, because the mean of its divisors is an integer number (3619339416).

Almost surely, 2^686054976768 is an apocalyptic number.

686054976768 is a gapful number since it is divisible by the number (68) 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 686054976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302962189760).

686054976768 is an abundant number, since it is smaller than the sum of its proper divisors (1919869402752).

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

686054976768 is a wasteful number, since it uses less digits than its factorization.

686054976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14704 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 686054976768 in words is "six hundred eighty-six billion, fifty-four million, nine hundred seventy-six thousand, seven hundred sixty-eight".