9723648000 has 384 divisors, whose sum is σ = 35324190720. Its totient is φ = 2355200000.

The previous prime is 9723647977. The next prime is 9723648023. The reversal of 9723648000 is 8463279.

It is an interprime number because it is at equal distance from previous prime (9723647977) and next prime (9723648023).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 9723648000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447425 + ... + 8448575.

It is an arithmetic number, because the mean of its divisors is an integer number (91990080).

Almost surely, 2^9723648000 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 9723648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662095360).

9723648000 is an abundant number, since it is smaller than the sum of its proper divisors (25600542720).

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

9723648000 is a wasteful number, since it uses less digits than its factorization.

9723648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 9723648000 is about 98608.5594662046. The cubic root of 9723648000 is about 2134.4029358594.

The spelling of 9723648000 in words is "nine billion, seven hundred twenty-three million, six hundred forty-eight thousand".