686416856186880 has 8192 divisors, whose sum is σ = 3424513075200000. Its totient is φ = 128915859308544.

The previous prime is 686416856186851. The next prime is 686416856186891. The reversal of 686416856186880 is 88681658614686.

686416856186880 is a `hidden beast` number, since 6 + 8 + 6 + 41 + 6 + 8 + 561 + 8 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8192).

It is a self number, because there is not a number n which added to its sum of digits gives 686416856186880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7712548945876 + ... + 7712548945964.

It is an arithmetic number, because the mean of its divisors is an integer number (418031381250).

Almost surely, 2^{686416856186880} is an apocalyptic number.

686416856186880 is a gapful number since it is divisible by the number (60) 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 686416856186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712256537600000).

686416856186880 is an abundant number, since it is smaller than the sum of its proper divisors (2738096219013120).

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

686416856186880 is a wasteful number, since it uses less digits than its factorization.

686416856186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5096079360, while the sum is 81.

The spelling of 686416856186880 in words is "six hundred eighty-six trillion, four hundred sixteen billion, eight hundred fifty-six million, one hundred eighty-six thousand, eight hundred eighty".