9743930164800 has 1344 divisors, whose sum is σ = 40047521794560. Its totient is φ = 2286653276160.

The previous prime is 9743930164751. The next prime is 9743930164841. The reversal of 9743930164800 is 84610393479.

It is a happy number.

9743930164800 is a `hidden beast` number, since 9 + 74 + 3 + 93 + 0 + 1 + 6 + 480 + 0 = 666.

9743930164800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4559629332 + ... + 4559631468.

It is an arithmetic number, because the mean of its divisors is an integer number (29797263240).

Almost surely, 2^{9743930164800} is an apocalyptic number.

9743930164800 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 9743930164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20023760897280).

9743930164800 is an abundant number, since it is smaller than the sum of its proper divisors (30303591629760).

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

9743930164800 is a wasteful number, since it uses less digits than its factorization.

9743930164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9743930164800 in words is "nine trillion, seven hundred forty-three billion, nine hundred thirty million, one hundred sixty-four thousand, eight hundred".