682181341300 has 72 divisors (see below), whose sum is σ = 1518216499800. Its totient is φ = 265905100800.

The previous prime is 682181341279. The next prime is 682181341327. The reversal of 682181341300 is 3143181286.

682181341300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 440221634064 + 241959707236 = 663492^2 + 491894^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 682181341300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3416626 + ... + 3610774.

It is an arithmetic number, because the mean of its divisors is an integer number (21086340275).

Almost surely, 2^682181341300 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 682181341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759108249900).

682181341300 is an abundant number, since it is smaller than the sum of its proper divisors (836035158500).

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

682181341300 is a wasteful number, since it uses less digits than its factorization.

682181341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195061 (or 195054 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 682181341300 in words is "six hundred eighty-two billion, one hundred eighty-one million, three hundred forty-one thousand, three hundred".