679889105280 has 768 divisors, whose sum is σ = 3081148761600. Its totient is φ = 133838438400.

The previous prime is 679889105239. The next prime is 679889105293. The reversal of 679889105280 is 82501988976.

It is a happy number.

679889105280 is a `hidden beast` number, since 6 + 7 + 98 + 8 + 9 + 10 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8386540 + ... + 8467220.

It is an arithmetic number, because the mean of its divisors is an integer number (4011912450).

Almost surely, 2^679889105280 is an apocalyptic number.

679889105280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679889105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540574380800).

679889105280 is an abundant number, since it is smaller than the sum of its proper divisors (2401259656320).

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

679889105280 is a wasteful number, since it uses less digits than its factorization.

679889105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80743 (or 80728 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 679889105280 in words is "six hundred seventy-nine billion, eight hundred eighty-nine million, one hundred five thousand, two hundred eighty".