9308963664 has 960 divisors, whose sum is σ = 38419763200. Its totient is φ = 2093921280.

The previous prime is 9308963641. The next prime is 9308963669. The reversal of 9308963664 is 4663698039.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9308963664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9308963669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90378237 + ... + 90378339.

Almost surely, 2^9308963664 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 9308963664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209881600).

9308963664 is an abundant number, since it is smaller than the sum of its proper divisors (29110799536).

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

9308963664 is a wasteful number, since it uses less digits than its factorization.

9308963664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 9308963664 is about 96482.9708497826. The cubic root of 9308963664 is about 2103.6191306519.

The spelling of 9308963664 in words is "nine billion, three hundred eight million, nine hundred sixty-three thousand, six hundred sixty-four".