9334613664 has 576 divisors, whose sum is σ = 31437020160. Its totient is φ = 2709780480.

The previous prime is 9334613663. The next prime is 9334613671. The reversal of 9334613664 is 4663164339.

It is a super-2 number, since 2×9334613664² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9334613663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139322559 + ... + 139322625.

It is an arithmetic number, because the mean of its divisors is an integer number (54578160).

Almost surely, 2^9334613664 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 9334613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718510080).

9334613664 is an abundant number, since it is smaller than the sum of its proper divisors (22102406496).

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

9334613664 is a wasteful number, since it uses less digits than its factorization.

9334613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 9334613664 is about 96615.8044214299. The cubic root of 9334613664 is about 2105.5494689704.

The spelling of 9334613664 in words is "nine billion, three hundred thirty-four million, six hundred thirteen thousand, six hundred sixty-four".