682482970080 has 960 divisors, whose sum is σ = 2708275046400. Its totient is φ = 161049047040.

The previous prime is 682482970073. The next prime is 682482970133. The reversal of 682482970080 is 80079284286.

682482970080 is a `hidden beast` number, since 6 + 82 + 482 + 9 + 7 + 0 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 682482969999 and 682482970026.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 221368219 + ... + 221371301.

It is an arithmetic number, because the mean of its divisors is an integer number (2821119840).

Almost surely, 2^682482970080 is an apocalyptic number.

682482970080 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 682482970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354137523200).

682482970080 is an abundant number, since it is smaller than the sum of its proper divisors (2025792076320).

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

682482970080 is a wasteful number, since it uses less digits than its factorization.

682482970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 682482970080 in words is "six hundred eighty-two billion, four hundred eighty-two million, nine hundred seventy thousand, eighty".