679670415360 has 384 divisors, whose sum is σ = 2383088526000. Its totient is φ = 179174375424.

The previous prime is 679670415343. The next prime is 679670415401. The reversal of 679670415360 is 63514076976.

It is a happy number.

679670415360 is a `hidden beast` number, since 6 + 7 + 9 + 67 + 0 + 41 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 679670415297 and 679670415306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131233251 + ... + 131238429.

Almost surely, 2^679670415360 is an apocalyptic number.

679670415360 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 679670415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191544263000).

679670415360 is an abundant number, since it is smaller than the sum of its proper divisors (1703418110640).

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

679670415360 is an equidigital number, since it uses as much as digits as its factorization.

679670415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 679670415360 in words is "six hundred seventy-nine billion, six hundred seventy million, four hundred fifteen thousand, three hundred sixty".