9965666304 has 208 divisors, whose sum is σ = 32212254240. Its totient is φ = 3019898880.

The previous prime is 9965666303. The next prime is 9965666323. The reversal of 9965666304 is 4036665699.

It is a happy number.

It is a super-4 number, since 4×9965666304⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (9965666303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905969659 + ... + 905969669.

Almost surely, 2^9965666304 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 9965666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106127120).

9965666304 is an abundant number, since it is smaller than the sum of its proper divisors (22246587936).

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

9965666304 is an frugal number, since it uses more digits than its factorization.

9965666304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 9965666304 is about 99828.1839161667. The cubic root of 9965666304 is about 2151.9662059433.

The spelling of 9965666304 in words is "nine billion, nine hundred sixty-five million, six hundred sixty-six thousand, three hundred four".