9967309716 has 360 divisors, whose sum is σ = 31001019840. Its totient is φ = 2486195712.

The previous prime is 9967309669. The next prime is 9967309717. The reversal of 9967309716 is 6179037699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967309717) 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 119 ways as a sum of consecutive naturals, for example, 111992200 + ... + 111992288.

It is an arithmetic number, because the mean of its divisors is an integer number (86113944).

Almost surely, 2^9967309716 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 9967309716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500509920).

9967309716 is an abundant number, since it is smaller than the sum of its proper divisors (21033710124).

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

9967309716 is a wasteful number, since it uses less digits than its factorization.

9967309716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 57.

The square root of 9967309716 is about 99836.4147793780. The cubic root of 9967309716 is about 2152.0844911502.

The spelling of 9967309716 in words is "nine billion, nine hundred sixty-seven million, three hundred nine thousand, seven hundred sixteen".