9917082756 has 216 divisors, whose sum is σ = 30810780000. Its totient is φ = 2674280448.

The previous prime is 9917082713. The next prime is 9917082779. The reversal of 9917082756 is 6572807199.

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, 15048355 + ... + 15049013.

It is an arithmetic number, because the mean of its divisors is an integer number (142642500).

Almost surely, 2^9917082756 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 9917082756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405390000).

9917082756 is an abundant number, since it is smaller than the sum of its proper divisors (20893697244).

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

9917082756 is a wasteful number, since it uses less digits than its factorization.

9917082756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9917082756 is about 99584.5507897686. The cubic root of 9917082756 is about 2148.4634961011.

The spelling of 9917082756 in words is "nine billion, nine hundred seventeen million, eighty-two thousand, seven hundred fifty-six".