9632448000 has 480 divisors, whose sum is σ = 39667193280. Its totient is φ = 2200780800.

The previous prime is 9632447989. The next prime is 9632448011. The reversal of 9632448000 is 8442369.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9632447989) and next prime (9632448011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4030806 + ... + 4033194.

It is an arithmetic number, because the mean of its divisors is an integer number (82639986).

Almost surely, 2^9632448000 is an apocalyptic number.

9632448000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9632448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833596640).

9632448000 is an abundant number, since it is smaller than the sum of its proper divisors (30034745280).

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

9632448000 is a wasteful number, since it uses less digits than its factorization.

9632448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9632448000 is about 98145.0355341522. The cubic root of 9632448000 is about 2127.7089695653.

The spelling of 9632448000 in words is "nine billion, six hundred thirty-two million, four hundred forty-eight thousand".