9330817664 has 128 divisors (see below), whose sum is σ = 21875980800. Its totient is φ = 3881779200.

The previous prime is 9330817663. The next prime is 9330817697. The reversal of 9330817664 is 4667180339.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (9330817663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4316744 + ... + 4318904.

It is an arithmetic number, because the mean of its divisors is an integer number (170906100).

Almost surely, 2^9330817664 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 9330817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937990400).

9330817664 is an abundant number, since it is smaller than the sum of its proper divisors (12545163136).

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

9330817664 is a wasteful number, since it uses less digits than its factorization.

9330817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The square root of 9330817664 is about 96596.1576047412. The cubic root of 9330817664 is about 2105.2640170761.

The spelling of 9330817664 in words is "nine billion, three hundred thirty million, eight hundred seventeen thousand, six hundred sixty-four".