686480832000 has 960 divisors, whose sum is σ = 2635660931904. Its totient is φ = 177964646400.

The previous prime is 686480831947. The next prime is 686480832017. The reversal of 686480832000 is 238084686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575423404 + ... + 575424596.

Almost surely, 2^686480832000 is an apocalyptic number.

686480832000 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 686480832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317830465952).

686480832000 is an abundant number, since it is smaller than the sum of its proper divisors (1949180099904).

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

686480832000 is an equidigital number, since it uses as much as digits as its factorization.

686480832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 686480832000 in words is "six hundred eighty-six billion, four hundred eighty million, eight hundred thirty-two thousand".