679848837120 has 504 divisors, whose sum is σ = 2448046522656. Its totient is φ = 181165621248.

The previous prime is 679848837113. The next prime is 679848837149. The reversal of 679848837120 is 21738848976.

679848837120 is a `hidden beast` number, since 67 + 9 + 8 + 488 + 3 + 71 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477756729 + ... + 477758151.

It is an arithmetic number, because the mean of its divisors is an integer number (4857235164).

Almost surely, 2^679848837120 is an apocalyptic number.

679848837120 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 679848837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224023261328).

679848837120 is an abundant number, since it is smaller than the sum of its proper divisors (1768197685536).

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

679848837120 is an frugal number, since it uses more digits than its factorization.

679848837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 679848837120 in words is "six hundred seventy-nine billion, eight hundred forty-eight million, eight hundred thirty-seven thousand, one hundred twenty".