9648064404 has 288 divisors, whose sum is σ = 29147489280. Its totient is φ = 2661120000.

The previous prime is 9648064381. The next prime is 9648064423. The reversal of 9648064404 is 4044608469.

9648064404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9648064404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14595834 + ... + 14596494.

It is an arithmetic number, because the mean of its divisors is an integer number (101206560).

Almost surely, 2^9648064404 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 9648064404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573744640).

9648064404 is an abundant number, since it is smaller than the sum of its proper divisors (19499424876).

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

9648064404 is a wasteful number, since it uses less digits than its factorization.

9648064404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9648064404 is about 98224.5611036262. The cubic root of 9648064404 is about 2128.8581832349.

The spelling of 9648064404 in words is "nine billion, six hundred forty-eight million, sixty-four thousand, four hundred four".