9446768812800 has 864 divisors, whose sum is σ = 38087988879360. Its totient is φ = 2272035225600.

The previous prime is 9446768812787. The next prime is 9446768812879. The reversal of 9446768812800 is 82188676449.

9446768812800 is a `hidden beast` number, since 9 + 4 + 467 + 6 + 88 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241382034 + ... + 241421166.

Almost surely, 2^{9446768812800} is an apocalyptic number.

9446768812800 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 9446768812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043994439680).

9446768812800 is an abundant number, since it is smaller than the sum of its proper divisors (28641220066560).

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

9446768812800 is a wasteful number, since it uses less digits than its factorization.

9446768812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39306 (or 39281 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 9446768812800 in words is "nine trillion, four hundred forty-six billion, seven hundred sixty-eight million, eight hundred twelve thousand, eight hundred".