9664346774016 has 1200 divisors, whose sum is σ = 32857791341760. Its totient is φ = 2824010956800.

The previous prime is 9664346773999. The next prime is 9664346774063. The reversal of 9664346774016 is 6104776434669.

9664346774016 is a `hidden beast` number, since 9 + 66 + 43 + 467 + 74 + 0 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22014457125 + ... + 22014457563.

Almost surely, 2^{9664346774016} is an apocalyptic number.

9664346774016 is a gapful number since it is divisible by the number (96) 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 9664346774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428895670880).

9664346774016 is an abundant number, since it is smaller than the sum of its proper divisors (23193444567744).

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

9664346774016 is a wasteful number, since it uses less digits than its factorization.

9664346774016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 9664346774016 in words is "nine trillion, six hundred sixty-four billion, three hundred forty-six million, seven hundred seventy-four thousand, sixteen".