9968624648 has 32 divisors (see below), whose sum is σ = 18945399000. Its totient is φ = 4916920320.

The previous prime is 9968624641. The next prime is 9968624663. The reversal of 9968624648 is 8464268699.

It is a Cunningham number, because it is equal to 99843²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 9627926884 + 340697764 = 98122^2 + 18458^2 .

It is not an unprimeable number, because it can be changed into a prime (9968624641) 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 in 7 ways as a sum of consecutive naturals, for example, 174728 + ... + 224648.

Almost surely, 2^9968624648 is an apocalyptic number.

It is an amenable number.

9968624648 is a deficient number, since it is larger than the sum of its proper divisors (8976774352).

9968624648 is a wasteful number, since it uses less digits than its factorization.

9968624648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50265 (or 50261 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 62.

The square root of 9968624648 is about 99842.9999949921. Note that the first 5 decimals coincide. The cubic root of 9968624648 is about 2152.1791245205.

The spelling of 9968624648 in words is "nine billion, nine hundred sixty-eight million, six hundred twenty-four thousand, six hundred forty-eight".