682331424768 has 288 divisors, whose sum is σ = 2270015354880. Its totient is φ = 193412136960.

The previous prime is 682331424763. The next prime is 682331424799. The reversal of 682331424768 is 867424133286.

682331424768 is a `hidden beast` number, since 6 + 8 + 2 + 331 + 4 + 247 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (682331424763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16365228 + ... + 16406868.

It is an arithmetic number, because the mean of its divisors is an integer number (7881997760).

Almost surely, 2^682331424768 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 682331424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135007677440).

682331424768 is an abundant number, since it is smaller than the sum of its proper divisors (1587683930112).

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

682331424768 is a wasteful number, since it uses less digits than its factorization.

682331424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41803 (or 41780 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 682331424768 in words is "six hundred eighty-two billion, three hundred thirty-one million, four hundred twenty-four thousand, seven hundred sixty-eight".