684690725568 has 224 divisors, whose sum is σ = 1860840576000. Its totient is φ = 222113488896.

The previous prime is 684690725539. The next prime is 684690725573. The reversal of 684690725568 is 865527096486.

It is a junction number, because it is equal to n+sod(n) for n = 684690725499 and 684690725508.

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 31 ways as a sum of consecutive naturals, for example, 652707508 + ... + 652708556.

It is an arithmetic number, because the mean of its divisors is an integer number (8307324000).

Almost surely, 2^684690725568 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 684690725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930420288000).

684690725568 is an abundant number, since it is smaller than the sum of its proper divisors (1176149850432).

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

684690725568 is a wasteful number, since it uses less digits than its factorization.

684690725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 684690725568 in words is "six hundred eighty-four billion, six hundred ninety million, seven hundred twenty-five thousand, five hundred sixty-eight".