684941180832 has 216 divisors, whose sum is σ = 2140474272300. Its totient is φ = 207473000448.

The previous prime is 684941180809. The next prime is 684941180947. The reversal of 684941180832 is 238081149486.

It is a happy number.

684941180832 is a `hidden beast` number, since 6 + 8 + 494 + 118 + 0 + 8 + 32 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 305194373136 + 379746807696 = 552444^2 + 616236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2271844 + ... + 2555612.

Almost surely, 2^684941180832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684941180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070237136150).

684941180832 is an abundant number, since it is smaller than the sum of its proper divisors (1455533091468).

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

684941180832 is a wasteful number, since it uses less digits than its factorization.

684941180832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283848 (or 283820 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 684941180832 in words is "six hundred eighty-four billion, nine hundred forty-one million, one hundred eighty thousand, eight hundred thirty-two".