9745833720384 has 168 divisors, whose sum is σ = 28165880371200. Its totient is φ = 3221743859712.

The previous prime is 9745833720383. The next prime is 9745833720391. The reversal of 9745833720384 is 4830273385479.

9745833720384 is a `hidden beast` number, since 9 + 7 + 458 + 33 + 72 + 0 + 3 + 84 = 666.

It is a super-3 number, since 3×9745833720384³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9745833720383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192583917 + ... + 192634515.

Almost surely, 2^{9745833720384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9745833720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082940185600).

9745833720384 is an abundant number, since it is smaller than the sum of its proper divisors (18420046650816).

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

9745833720384 is a wasteful number, since it uses less digits than its factorization.

9745833720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53377 (or 53364 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 9745833720384 in words is "nine trillion, seven hundred forty-five billion, eight hundred thirty-three million, seven hundred twenty thousand, three hundred eighty-four".