9933933960 has 320 divisors, whose sum is σ = 34522519680. Its totient is φ = 2560481280.

The previous prime is 9933933949. The next prime is 9933933991. The reversal of 9933933960 is 693393399.

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

It is a junction number, because it is equal to n+sod(n) for n = 9933933897 and 9933933906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15742845 + ... + 15743475.

It is an arithmetic number, because the mean of its divisors is an integer number (107882874).

Almost surely, 2^9933933960 is an apocalyptic number.

9933933960 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 9933933960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261259840).

9933933960 is an abundant number, since it is smaller than the sum of its proper divisors (24588585720).

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

9933933960 is a wasteful number, since it uses less digits than its factorization.

9933933960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3188646, while the sum is 54.

The square root of 9933933960 is about 99669.1224000693. The cubic root of 9933933960 is about 2149.6797042244.

The spelling of 9933933960 in words is "nine billion, nine hundred thirty-three million, nine hundred thirty-three thousand, nine hundred sixty".