686179728000 has 1024 divisors, whose sum is σ = 2767847846400. Its totient is φ = 166053888000.

The previous prime is 686179727983. The next prime is 686179728043. The reversal of 686179728000 is 827971686.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 342574999 + ... + 342577001.

Almost surely, 2^686179728000 is an apocalyptic number.

686179728000 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 686179728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383923923200).

686179728000 is an abundant number, since it is smaller than the sum of its proper divisors (2081668118400).

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

686179728000 is a wasteful number, since it uses less digits than its factorization.

686179728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 686179728000 in words is "six hundred eighty-six billion, one hundred seventy-nine million, seven hundred twenty-eight thousand".