679776298766208 has 768 divisors, whose sum is σ = 2392112724019200. Its totient is φ = 188129461469184.

The previous prime is 679776298766207. The next prime is 679776298766231. The reversal of 679776298766208 is 802667892677976.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679776298766207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992279538 + ... + 992964366.

It is an arithmetic number, because the mean of its divisors is an integer number (3114730109400).

Almost surely, 2^{679776298766208} 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 679776298766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196056362009600).

679776298766208 is an abundant number, since it is smaller than the sum of its proper divisors (1712336425252992).

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

679776298766208 is an equidigital number, since it uses as much as digits as its factorization.

679776298766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685009 (or 684985 counting only the distinct ones).

The product of its (nonzero) digits is 64524128256, while the sum is 90.

The spelling of 679776298766208 in words is "six hundred seventy-nine trillion, seven hundred seventy-six billion, two hundred ninety-eight million, seven hundred sixty-six thousand, two hundred eight".