679665168 has 480 divisors, whose sum is σ = 2593334016. Its totient is φ = 167215104.

The previous prime is 679665149. The next prime is 679665187. The reversal of 679665168 is 861566976.

679665168 is a `hidden beast` number, since 67 + 9 + 66 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (679665149) and next prime (679665187).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 6014680 + ... + 6014792.

Almost surely, 2^679665168 is an apocalyptic number.

679665168 is a gapful number since it is divisible by the number (68) 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 679665168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

679665168 is an abundant number, since it is smaller than the sum of its proper divisors (1913668848).

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

679665168 is a wasteful number, since it uses less digits than its factorization.

679665168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 679665168 is about 26070.3887197717. The cubic root of 679665168 is about 879.2215774732.

The spelling of 679665168 in words is "six hundred seventy-nine million, six hundred sixty-five thousand, one hundred sixty-eight".