9743946004800 has 1008 divisors, whose sum is σ = 42618721691520. Its totient is φ = 2060626821120.

The previous prime is 9743946004721. The next prime is 9743946004829. The reversal of 9743946004800 is 84006493479.

It is a happy number.

9743946004800 is a `hidden beast` number, since 9 + 74 + 3 + 94 + 6 + 0 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101054212 + ... + 101150588.

Almost surely, 2^{9743946004800} is an apocalyptic number.

9743946004800 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 9743946004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21309360845760).

9743946004800 is an abundant number, since it is smaller than the sum of its proper divisors (32874775686720).

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

9743946004800 is a wasteful number, since it uses less digits than its factorization.

9743946004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96488 (or 96470 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 9743946004800 in words is "nine trillion, seven hundred forty-three billion, nine hundred forty-six million, four thousand, eight hundred".