9968008676 has 6 divisors (see below), whose sum is σ = 17444015190. Its totient is φ = 4984004336.

The previous prime is 9968008669. The next prime is 9968008697. The reversal of 9968008676 is 6768008699.

9968008676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9793081600 + 174927076 = 98960^2 + 13226^2 .

It is a super-2 number, since 2×9968008676² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1246001081 + ... + 1246001088.

It is an arithmetic number, because the mean of its divisors is an integer number (2907335865).

Almost surely, 2^9968008676 is an apocalyptic number.

It is an amenable number.

9968008676 is a deficient number, since it is larger than the sum of its proper divisors (7476006514).

9968008676 is a wasteful number, since it uses less digits than its factorization.

9968008676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492002173 (or 2492002171 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 59.

The square root of 9968008676 is about 99839.9152443551. The cubic root of 9968008676 is about 2152.1347951226.

The spelling of 9968008676 in words is "nine billion, nine hundred sixty-eight million, eight thousand, six hundred seventy-six".