607968305568 has 576 divisors, whose sum is σ = 2110606243200. Its totient is φ = 163950428160.

The previous prime is 607968305563. The next prime is 607968305591. The reversal of 607968305568 is 865503869706.

607968305568 is a `hidden beast` number, since 6 + 0 + 7 + 9 + 68 + 3 + 0 + 5 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (607968305563) 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 95 ways as a sum of consecutive naturals, for example, 71345148 + ... + 71353668.

It is an arithmetic number, because the mean of its divisors is an integer number (3664246950).

Almost surely, 2^607968305568 is an apocalyptic number.

607968305568 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 607968305568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055303121600).

607968305568 is an abundant number, since it is smaller than the sum of its proper divisors (1502637937632).

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

607968305568 is a wasteful number, since it uses less digits than its factorization.

607968305568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 607968305568 in words is "six hundred seven billion, nine hundred sixty-eight million, three hundred five thousand, five hundred sixty-eight".