679857585758976 has 144 divisors (see below), whose sum is σ = 1812776306745600. Its totient is φ = 226198175723520.

The previous prime is 679857585758891. The next prime is 679857585759031.

679857585758976 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 1336808421 + ... + 1337316891.

It is an arithmetic number, because the mean of its divisors is an integer number (12588724352400).

Almost surely, 2^{679857585758976} 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 679857585758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906388153372800).

679857585758976 is an abundant number, since it is smaller than the sum of its proper divisors (1132918720986624).

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

679857585758976 is a wasteful number, since it uses less digits than its factorization.

679857585758976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511722 (or 511708 counting only the distinct ones).

The product of its digits is 2240421120000, while the sum is 102.

The spelling of 679857585758976 in words is "six hundred seventy-nine trillion, eight hundred fifty-seven billion, five hundred eighty-five million, seven hundred fifty-eight thousand, nine hundred seventy-six".