9968624641 has 2 divisors, whose sum is σ = 9968624642. Its totient is φ = 9968624640.

The previous prime is 9968624563. The next prime is 9968624663. The reversal of 9968624641 is 1464268699.

9968624641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7687607041 + 2281017600 = 87679^2 + 47760^2 .

It is a cyclic number.

It is not a de Polignac number, because 9968624641 - 2²¹ = 9966527489 is a prime.

It is not a weakly prime, because it can be changed into another prime (9968624671) by changing a digit.

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 as a sum of consecutive naturals, namely, 4984312320 + 4984312321.

It is an arithmetic number, because the mean of its divisors is an integer number (4984312321).

Almost surely, 2^9968624641 is an apocalyptic number.

It is an amenable number.

9968624641 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968624641 is an equidigital number, since it uses as much as digits as its factorization.

9968624641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4478976, while the sum is 55.

The square root of 9968624641 is about 99842.9999599371. Note that the first 4 decimals coincide. The cubic root of 9968624641 is about 2152.1791240167.

The spelling of 9968624641 in words is "nine billion, nine hundred sixty-eight million, six hundred twenty-four thousand, six hundred forty-one".