9563664384 has 104 divisors (see below), whose sum is σ = 28333651920. Its totient is φ = 3187851264.

The previous prime is 9563664379. The next prime is 9563664403. The reversal of 9563664384 is 4834663659.

9563664384 is a `hidden beast` number, since 95 + 63 + 66 + 438 + 4 = 666.

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 9563664384.

It is a congruent number.

It is an unprimeable number.

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, 67354 + ... + 153830.

Almost surely, 2^9563664384 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 9563664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166825960).

9563664384 is an abundant number, since it is smaller than the sum of its proper divisors (18769987536).

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

9563664384 is an equidigital number, since it uses as much as digits as its factorization.

9563664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86510 (or 86482 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 9563664384 is about 97793.9895085582. The cubic root of 9563664384 is about 2122.6323347673.

The spelling of 9563664384 in words is "nine billion, five hundred sixty-three million, six hundred sixty-four thousand, three hundred eighty-four".