9968624649 has 27 divisors (see below), whose sum is σ = 15062802573. Its totient is φ = 6352411032.

The previous prime is 9968624641. The next prime is 9968624663. The reversal of 9968624649 is 9464268699.

The square root of 9968624649 is 99843.

It is a perfect power (a square), and thus also a powerful number.

9968624649 is a `hidden beast` number, since 9 + 96 + 86 + 2 + 464 + 9 = 666.

9968624649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9968624649 - 2³ = 9968624641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9968624641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6888444 + ... + 6889890.

Almost surely, 2^9968624649 is an apocalyptic number.

9968624649 is the 99843-rd square number.

9968624649 is the 49922-nd centered octagonal number.

It is an amenable number.

9968624649 is a deficient number, since it is larger than the sum of its proper divisors (5094177924).

9968624649 is an equidigital number, since it uses as much as digits as its factorization.

9968624649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 1473 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The cubic root of 9968624649 is about 2152.1791245924.

The spelling of 9968624649 in words is "nine billion, nine hundred sixty-eight million, six hundred twenty-four thousand, six hundred forty-nine".