684640180224 has 2880 divisors, whose sum is σ = 3036710476800. Its totient is φ = 150493593600.

The previous prime is 684640180177. The next prime is 684640180229. The reversal of 684640180224 is 422081046486.

684640180224 is a `hidden beast` number, since 6 + 8 + 464 + 0 + 180 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 684640180224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684640180229) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22085167089 + ... + 22085167119.

It is an arithmetic number, because the mean of its divisors is an integer number (1054413360).

Almost surely, 2^684640180224 is an apocalyptic number.

684640180224 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 684640180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518355238400).

684640180224 is an abundant number, since it is smaller than the sum of its proper divisors (2352070296576).

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

684640180224 is a wasteful number, since it uses less digits than its factorization.

684640180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 684640180224 in words is "six hundred eighty-four billion, six hundred forty million, one hundred eighty thousand, two hundred twenty-four".