682182940320 has 1152 divisors, whose sum is σ = 2938700943360. Its totient is φ = 140507136000.

The previous prime is 682182940193. The next prime is 682182940333. The reversal of 682182940320 is 23049281286.

682182940320 is a `hidden beast` number, since 6 + 8 + 218 + 2 + 9 + 403 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1105644652 + ... + 1105645268.

It is an arithmetic number, because the mean of its divisors is an integer number (2550955680).

Almost surely, 2^682182940320 is an apocalyptic number.

682182940320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682182940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469350471680).

682182940320 is an abundant number, since it is smaller than the sum of its proper divisors (2256518003040).

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

682182940320 is a wasteful number, since it uses less digits than its factorization.

682182940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 682182940320 in words is "six hundred eighty-two billion, one hundred eighty-two million, nine hundred forty thousand, three hundred twenty".