686408546304 has 864 divisors, whose sum is σ = 2374332957360. Its totient is φ = 196262756352.

The previous prime is 686408546303. The next prime is 686408546309. The reversal of 686408546304 is 403645804686.

686408546304 is a `hidden beast` number, since 6 + 8 + 64 + 0 + 8 + 546 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686408546303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8688715737 + ... + 8688715815.

Almost surely, 2^686408546304 is an apocalyptic number.

686408546304 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 686408546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187166478680).

686408546304 is an abundant number, since it is smaller than the sum of its proper divisors (1687924411056).

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

686408546304 is an equidigital number, since it uses as much as digits as its factorization.

686408546304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 686408546304 in words is "six hundred eighty-six billion, four hundred eight million, five hundred forty-six thousand, three hundred four".