9963480384 has 448 divisors, whose sum is σ = 35028591360. Its totient is φ = 2737152000.

The previous prime is 9963480379. The next prime is 9963480389. The reversal of 9963480384 is 4830843699.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9963480379) and next prime (9963480389).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9963480384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963480389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15073014 + ... + 15073674.

It is an arithmetic number, because the mean of its divisors is an integer number (78188820).

Almost surely, 2^9963480384 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 9963480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514295680).

9963480384 is an abundant number, since it is smaller than the sum of its proper divisors (25065110976).

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

9963480384 is a wasteful number, since it uses less digits than its factorization.

9963480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 9963480384 is about 99817.2349045995. The cubic root of 9963480384 is about 2151.8088533622.

The spelling of 9963480384 in words is "nine billion, nine hundred sixty-three million, four hundred eighty thousand, three hundred eighty-four".