9364416000 has 640 divisors, whose sum is σ = 34930621440. Its totient is φ = 2211840000.

The previous prime is 9364415999. The next prime is 9364416007. The reversal of 9364416000 is 6144639.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9364416007) 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, 62015925 + ... + 62016075.

It is an arithmetic number, because the mean of its divisors is an integer number (54579096).

Almost surely, 2^9364416000 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 9364416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465310720).

9364416000 is an abundant number, since it is smaller than the sum of its proper divisors (25566205440).

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

9364416000 is a wasteful number, since it uses less digits than its factorization.

9364416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 9364416000 is about 96769.9126795101. The cubic root of 9364416000 is about 2107.7878630050.

The spelling of 9364416000 in words is "nine billion, three hundred sixty-four million, four hundred sixteen thousand".