9968127624 has 960 divisors, whose sum is σ = 38932185600. Its totient is φ = 2351462400.

The previous prime is 9968127623. The next prime is 9968127641. The reversal of 9968127624 is 4267218699.

9968127624 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 1 + 2 + 7 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9968127623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 243125044 + ... + 243125084.

It is an arithmetic number, because the mean of its divisors is an integer number (40554360).

Almost surely, 2^9968127624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9968127624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466092800).

9968127624 is an abundant number, since it is smaller than the sum of its proper divisors (28964057976).

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

9968127624 is a wasteful number, since it uses less digits than its factorization.

9968127624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9968127624 is about 99840.5109361926. The cubic root of 9968127624 is about 2152.1433555455.

The spelling of 9968127624 in words is "nine billion, nine hundred sixty-eight million, one hundred twenty-seven thousand, six hundred twenty-four".