9933041664 has 780 divisors, whose sum is σ = 37963515744. Its totient is φ = 2563964928.

The previous prime is 9933041663. The next prime is 9933041747. The reversal of 9933041664 is 4661403399.

It is not an unprimeable number, because it can be changed into a prime (9933041663) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 211341289 + ... + 211341335.

Almost surely, 2^9933041664 is an apocalyptic number.

9933041664 is a gapful number since it is divisible by the number (94) 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 9933041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18981757872).

9933041664 is an abundant number, since it is smaller than the sum of its proper divisors (28030474080).

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

9933041664 is a wasteful number, since it uses less digits than its factorization.

9933041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9933041664 is about 99664.6460085019. The cubic root of 9933041664 is about 2149.6153387191.

The spelling of 9933041664 in words is "nine billion, nine hundred thirty-three million, forty-one thousand, six hundred sixty-four".