682660167832720 has 640 divisors, whose sum is σ = 2043110432563200. Its totient is φ = 205953071923200.

The previous prime is 682660167832627. The next prime is 682660167832723. The reversal of 682660167832720 is 27238761066286.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (682660167832723) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17861781771 + ... + 17861819989.

It is an arithmetic number, because the mean of its divisors is an integer number (3192360050880).

Almost surely, 2^{682660167832720} 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 682660167832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021555216281600).

682660167832720 is an abundant number, since it is smaller than the sum of its proper divisors (1360450264730480).

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

682660167832720 is a wasteful number, since it uses less digits than its factorization.

682660167832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38847 (or 38841 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 682660167832720 in words is "six hundred eighty-two trillion, six hundred sixty billion, one hundred sixty-seven million, eight hundred thirty-two thousand, seven hundred twenty".