682088107824 has 640 divisors, whose sum is σ = 2288082124800. Its totient is φ = 192969216000.

The previous prime is 682088107787. The next prime is 682088107901. The reversal of 682088107824 is 428701880286.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 908239449 + ... + 908240199.

It is an arithmetic number, because the mean of its divisors is an integer number (3575128320).

Almost surely, 2^682088107824 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 682088107824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144041062400).

682088107824 is an abundant number, since it is smaller than the sum of its proper divisors (1605994016976).

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

682088107824 is a wasteful number, since it uses less digits than its factorization.

682088107824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 682088107824 in words is "six hundred eighty-two billion, eighty-eight million, one hundred seven thousand, eight hundred twenty-four".