679311360 has 672 divisors, whose sum is σ = 3007761120. Its totient is φ = 143327232.

The previous prime is 679311359. The next prime is 679311383. The reversal of 679311360 is 63113976.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×679311360² = 922927847650099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254714 + ... + 52254726.

It is an arithmetic number, because the mean of its divisors is an integer number (4475835).

Almost surely, 2^679311360 is an apocalyptic number.

679311360 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 679311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503880560).

679311360 is an abundant number, since it is smaller than the sum of its proper divisors (2328449760).

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

679311360 is an equidigital number, since it uses as much as digits as its factorization.

679311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 679311360 is about 26063.6022069092. The cubic root of 679311360 is about 879.0689878177.

The spelling of 679311360 in words is "six hundred seventy-nine million, three hundred eleven thousand, three hundred sixty".