9750033920 has 160 divisors (see below), whose sum is σ = 26846138880. Its totient is φ = 3358679040.

The previous prime is 9750033907. The next prime is 9750033941. The reversal of 9750033920 is 293300579.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×9750033920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525929 + ... + 544151.

It is an arithmetic number, because the mean of its divisors is an integer number (167788368).

Almost surely, 2^9750033920 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 9750033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423069440).

9750033920 is an abundant number, since it is smaller than the sum of its proper divisors (17096104960).

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

9750033920 is a wasteful number, since it uses less digits than its factorization.

9750033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18276 (or 18260 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 38.

The square root of 9750033920 is about 98742.2600511048. The cubic root of 9750033920 is about 2136.3318182578.

The spelling of 9750033920 in words is "nine billion, seven hundred fifty million, thirty-three thousand, nine hundred twenty".