6399085968 has 320 divisors, whose sum is σ = 20912947200. Its totient is φ = 1871337600.

The previous prime is 6399085961. The next prime is 6399085969. The reversal of 6399085968 is 8695809936.

6399085968 is a `hidden beast` number, since 6 + 39 + 9 + 0 + 8 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6399085961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17824573 + ... + 17824931.

It is an arithmetic number, because the mean of its divisors is an integer number (65352960).

Almost surely, 2^6399085968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6399085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456473600).

6399085968 is an abundant number, since it is smaller than the sum of its proper divisors (14513861232).

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

6399085968 is a wasteful number, since it uses less digits than its factorization.

6399085968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 6399085968 is about 79994.2870960171. The cubic root of 6399085968 is about 1856.5471425553.

The spelling of 6399085968 in words is "six billion, three hundred ninety-nine million, eighty-five thousand, nine hundred sixty-eight".