9934271568 has 240 divisors, whose sum is σ = 31260290880. Its totient is φ = 3054070656.

The previous prime is 9934271561. The next prime is 9934271593. The reversal of 9934271568 is 8651724399.

9934271568 is a `hidden beast` number, since 9 + 9 + 3 + 4 + 2 + 71 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9934271561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8541355 + ... + 8542517.

It is an arithmetic number, because the mean of its divisors is an integer number (130251212).

Almost surely, 2^9934271568 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 9934271568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630145440).

9934271568 is an abundant number, since it is smaller than the sum of its proper divisors (21326019312).

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

9934271568 is a wasteful number, since it uses less digits than its factorization.

9934271568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1181 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9934271568 is about 99670.8160295681. The cubic root of 9934271568 is about 2149.7040564715.

The spelling of 9934271568 in words is "nine billion, nine hundred thirty-four million, two hundred seventy-one thousand, five hundred sixty-eight".