9664512000 has 720 divisors, whose sum is σ = 38071584096. Its totient is φ = 2162688000.

The previous prime is 9664511953. The next prime is 9664512001. The reversal of 9664512000 is 2154669.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9664512001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743423994 + ... + 743424006.

Almost surely, 2^9664512000 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 9664512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035792048).

9664512000 is an abundant number, since it is smaller than the sum of its proper divisors (28407072096).

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

9664512000 is a wasteful number, since it uses less digits than its factorization.

9664512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9664512000 is about 98308.2499081333. The cubic root of 9664512000 is about 2130.0672243986.

Adding to 9664512000 its reverse (2154669), we get a palindrome (9666666669).

The spelling of 9664512000 in words is "nine billion, six hundred sixty-four million, five hundred twelve thousand".