9933468750 has 224 divisors, whose sum is σ = 28190264160. Its totient is φ = 2592000000.

The previous prime is 9933468697. The next prime is 9933468763. The reversal of 9933468750 is 578643399.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51468654 + ... + 51468846.

Almost surely, 2^9933468750 is an apocalyptic number.

9933468750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9933468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095132080).

9933468750 is an abundant number, since it is smaller than the sum of its proper divisors (18256795410).

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

9933468750 is an equidigital number, since it uses as much as digits as its factorization.

9933468750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9933468750 is about 99666.7886008173. The cubic root of 9933468750 is about 2149.6461469210.

The spelling of 9933468750 in words is "nine billion, nine hundred thirty-three million, four hundred sixty-eight thousand, seven hundred fifty".