9933749760 has 320 divisors, whose sum is σ = 35248815360. Its totient is φ = 2366177280.

The previous prime is 9933749753. The next prime is 9933749767. The reversal of 9933749760 is 679473399.

It is an interprime number because it is at equal distance from previous prime (9933749753) and next prime (9933749767).

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 9933749760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9933749767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983324 + ... + 4985316.

It is an arithmetic number, because the mean of its divisors is an integer number (110152548).

Almost surely, 2^9933749760 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 9933749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624407680).

9933749760 is an abundant number, since it is smaller than the sum of its proper divisors (25315065600).

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

9933749760 is a wasteful number, since it uses less digits than its factorization.

9933749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 57.

The square root of 9933749760 is about 99668.1983382864. The cubic root of 9933749760 is about 2149.6664173281. Note that the first 3 decimals are identical.

The spelling of 9933749760 in words is "nine billion, nine hundred thirty-three million, seven hundred forty-nine thousand, seven hundred sixty".