686455064064 has 1280 divisors, whose sum is σ = 2660949688320. Its totient is φ = 169537536000.

The previous prime is 686455064047. The next prime is 686455064171. The reversal of 686455064064 is 460460554686.

686455064064 is a `hidden beast` number, since 6 + 86 + 4 + 550 + 6 + 4 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×686455064064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 686455064064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2342849902 + ... + 2342850194.

It is an arithmetic number, because the mean of its divisors is an integer number (2078866944).

Almost surely, 2^686455064064 is an apocalyptic number.

686455064064 is a gapful number since it is divisible by the number (64) 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 686455064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330474844160).

686455064064 is an abundant number, since it is smaller than the sum of its proper divisors (1974494624256).

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

686455064064 is a wasteful number, since it uses less digits than its factorization.

686455064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 686455064064 in words is "six hundred eighty-six billion, four hundred fifty-five million, sixty-four thousand, sixty-four".