9993794864 has 80 divisors (see below), whose sum is σ = 20428290720. Its totient is φ = 4729804800.

The previous prime is 9993794843. The next prime is 9993794869. The reversal of 9993794864 is 4684973999.

It is a super-3 number, since 3×9993794864³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9993794794 and 9993794803.

It is not an unprimeable number, because it can be changed into a prime (9993794869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5013452 + ... + 5015444.

It is an arithmetic number, because the mean of its divisors is an integer number (255353634).

Almost surely, 2^9993794864 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 9993794864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214145360).

9993794864 is an abundant number, since it is smaller than the sum of its proper divisors (10434495856).

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

9993794864 is a wasteful number, since it uses less digits than its factorization.

9993794864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 68.

The square root of 9993794864 is about 99968.9695055421. The cubic root of 9993794864 is about 2153.9889791541.

The spelling of 9993794864 in words is "nine billion, nine hundred ninety-three million, seven hundred ninety-four thousand, eight hundred sixty-four".