679505109888 has 256 divisors, whose sum is σ = 2020332441600. Its totient is φ = 200571033600.

The previous prime is 679505109847. The next prime is 679505109893. The reversal of 679505109888 is 888901505976.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68833593 + ... + 68843463.

It is an arithmetic number, because the mean of its divisors is an integer number (7891923600).

Almost surely, 2^679505109888 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 679505109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010166220800).

679505109888 is an abundant number, since it is smaller than the sum of its proper divisors (1340827331712).

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

679505109888 is a wasteful number, since it uses less digits than its factorization.

679505109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 66.

The spelling of 679505109888 in words is "six hundred seventy-nine billion, five hundred five million, one hundred nine thousand, eight hundred eighty-eight".