679401781128 has 288 divisors, whose sum is σ = 2214446607360. Its totient is φ = 187433326080.

The previous prime is 679401781117. The next prime is 679401781133. The reversal of 679401781128 is 821187104976.

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 71 ways as a sum of consecutive naturals, for example, 50630676 + ... + 50644092.

It is an arithmetic number, because the mean of its divisors is an integer number (7689050720).

Almost surely, 2^679401781128 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 679401781128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107223303680).

679401781128 is an abundant number, since it is smaller than the sum of its proper divisors (1535044826232).

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

679401781128 is a wasteful number, since it uses less digits than its factorization.

679401781128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 679401781128 in words is "six hundred seventy-nine billion, four hundred one million, seven hundred eighty-one thousand, one hundred twenty-eight".