9948327040 has 128 divisors (see below), whose sum is σ = 25898616000. Its totient is φ = 3639767040.

The previous prime is 9948327013. The next prime is 9948327041. The reversal of 9948327040 is 407238499.

It is a happy number.

9948327040 is a nontrivial binomial coefficient, being equal to C(141056, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (9948327041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338535 + ... + 366745.

Almost surely, 2^9948327040 is an apocalyptic number.

9948327040 is the 141055-th triangular number and also the 70528-th hexagonal number.

9948327040 is the 47019-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9948327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949308000).

9948327040 is an abundant number, since it is smaller than the sum of its proper divisors (15950288960).

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

9948327040 is a wasteful number, since it uses less digits than its factorization.

9948327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28278 (or 28266 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 9948327040 is about 99741.3005730324. The cubic root of 9948327040 is about 2150.7174126511.

The spelling of 9948327040 in words is "nine billion, nine hundred forty-eight million, three hundred twenty-seven thousand, forty".