682094331072 has 1008 divisors, whose sum is σ = 2595365660160. Its totient is φ = 167315005440.

The previous prime is 682094331067. The next prime is 682094331097. The reversal of 682094331072 is 270133490286.

682094331072 is a `hidden beast` number, since 6 + 8 + 209 + 433 + 1 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998673643 + ... + 998674325.

It is an arithmetic number, because the mean of its divisors is an integer number (2574767520).

Almost surely, 2^682094331072 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 682094331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297682830080).

682094331072 is an abundant number, since it is smaller than the sum of its proper divisors (1913271329088).

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

682094331072 is a wasteful number, since it uses less digits than its factorization.

682094331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 682094331072 in words is "six hundred eighty-two billion, ninety-four million, three hundred thirty-one thousand, seventy-two".