682190563600 has 540 divisors, whose sum is σ = 2116566408684. Its totient is φ = 209285959680.

The previous prime is 682190563597. The next prime is 682190563609. The reversal of 682190563600 is 6365091286.

It can be written as a sum of positive squares in 18 ways, for example, as 667005423616 + 15185139984 = 816704^2 + 123228^2 .

It is not an unprimeable number, because it can be changed into a prime (682190563609) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2536024266 + ... + 2536024534.

Almost surely, 2^682190563600 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 682190563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058283204342).

682190563600 is an abundant number, since it is smaller than the sum of its proper divisors (1434375845084).

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

682190563600 is a wasteful number, since it uses less digits than its factorization.

682190563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 682190563600 in words is "six hundred eighty-two billion, one hundred ninety million, five hundred sixty-three thousand, six hundred".