9933950208 has 288 divisors, whose sum is σ = 32716558336. Its totient is φ = 2605768704.

The previous prime is 9933950207. The next prime is 9933950249. The reversal of 9933950208 is 8020593399.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9933950207) 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, 21455385 + ... + 21455847.

Almost surely, 2^9933950208 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 9933950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358279168).

9933950208 is an abundant number, since it is smaller than the sum of its proper divisors (22782608128).

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

9933950208 is a wasteful number, since it uses less digits than its factorization.

9933950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 9933950208 is about 99669.2039097333. The cubic root of 9933950208 is about 2149.6808762333.

The spelling of 9933950208 in words is "nine billion, nine hundred thirty-three million, nine hundred fifty thousand, two hundred eight".