682079130000 has 600 divisors, whose sum is σ = 2559238281600. Its totient is φ = 175597632000.

The previous prime is 682079129929. The next prime is 682079130017. The reversal of 682079130000 is 31970286.

682079130000 is a `hidden beast` number, since 68 + 207 + 91 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 70465161 + ... + 70474839.

It is an arithmetic number, because the mean of its divisors is an integer number (4265397136).

Almost surely, 2^682079130000 is an apocalyptic number.

682079130000 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 682079130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279619140800).

682079130000 is an abundant number, since it is smaller than the sum of its proper divisors (1877159151600).

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

682079130000 is an equidigital number, since it uses as much as digits as its factorization.

682079130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 682079130000 in words is "six hundred eighty-two billion, seventy-nine million, one hundred thirty thousand".