9969826944 has 576 divisors, whose sum is σ = 35260747200. Its totient is φ = 2483712000.

The previous prime is 9969826931. The next prime is 9969826969. The reversal of 9969826944 is 4496289699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66025269 + ... + 66025419.

It is an arithmetic number, because the mean of its divisors is an integer number (61216575).

Almost surely, 2^9969826944 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 9969826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630373600).

9969826944 is an abundant number, since it is smaller than the sum of its proper divisors (25290920256).

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

9969826944 is a wasteful number, since it uses less digits than its factorization.

9969826944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 66.

The square root of 9969826944 is about 99849.0207463248. The cubic root of 9969826944 is about 2152.2656443907.

The spelling of 9969826944 in words is "nine billion, nine hundred sixty-nine million, eight hundred twenty-six thousand, nine hundred forty-four".