9849967008 has 192 divisors, whose sum is σ = 31518305280. Its totient is φ = 2629251072.

The previous prime is 9849967007. The next prime is 9849967013. The reversal of 9849967008 is 8007699489.

It is a Cunningham number, because it is equal to 99247²-1.

It is not an unprimeable number, because it can be changed into a prime (9849967003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1584835 + ... + 1591037.

It is an arithmetic number, because the mean of its divisors is an integer number (164157840).

Almost surely, 2^9849967008 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 9849967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759152640).

9849967008 is an abundant number, since it is smaller than the sum of its proper divisors (21668338272).

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

9849967008 is a wasteful number, since it uses less digits than its factorization.

9849967008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 9849967008 is about 99246.9999949621. Note that the first 5 decimals coincide. The cubic root of 9849967008 is about 2143.6058090360.

The spelling of 9849967008 in words is "nine billion, eight hundred forty-nine million, nine hundred sixty-seven thousand, eight".