9666336424320 has 1152 divisors, whose sum is σ = 36930479040000. Its totient is φ = 2415581429760.

The previous prime is 9666336424319. The next prime is 9666336424321. The reversal of 9666336424320 is 234246336669.

It is an interprime number because it is at equal distance from previous prime (9666336424319) and next prime (9666336424321).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9666336424321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19371415431 + ... + 19371415929.

It is an arithmetic number, because the mean of its divisors is an integer number (32057707500).

Almost surely, 2^{9666336424320} is an apocalyptic number.

9666336424320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9666336424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465239520000).

9666336424320 is an abundant number, since it is smaller than the sum of its proper divisors (27264142615680).

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

9666336424320 is a wasteful number, since it uses less digits than its factorization.

9666336424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 54.

The spelling of 9666336424320 in words is "nine trillion, six hundred sixty-six billion, three hundred thirty-six million, four hundred twenty-four thousand, three hundred twenty".