9664406736000 has 512 divisors, whose sum is σ = 33631806873600. Its totient is φ = 2451746304000.

The previous prime is 9664406735993. The next prime is 9664406736001. The reversal of 9664406736000 is 6376044669.

It is not an unprimeable number, because it can be changed into a prime (9664406736001) 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, 87736959 + ... + 87847041.

It is an arithmetic number, because the mean of its divisors is an integer number (65687122800).

Almost surely, 2^{9664406736000} 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 9664406736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815903436800).

9664406736000 is an abundant number, since it is smaller than the sum of its proper divisors (23967400137600).

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

9664406736000 is a wasteful number, since it uses less digits than its factorization.

9664406736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110205 (or 110183 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 9664406736000 in words is "nine trillion, six hundred sixty-four billion, four hundred six million, seven hundred thirty-six thousand".