9391967424 has 336 divisors, whose sum is σ = 33039759168. Its totient is φ = 2489647104.

The previous prime is 9391967393. The next prime is 9391967437. The reversal of 9391967424 is 4247691939.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5002774 + ... + 5004650.

Almost surely, 2^9391967424 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 9391967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519879584).

9391967424 is an abundant number, since it is smaller than the sum of its proper divisors (23647791744).

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

9391967424 is a wasteful number, since it uses less digits than its factorization.

9391967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1979 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 9391967424 is about 96912.1634471133. The cubic root of 9391967424 is about 2109.8529747888.

The spelling of 9391967424 in words is "nine billion, three hundred ninety-one million, nine hundred sixty-seven thousand, four hundred twenty-four".