9766298976 has 288 divisors, whose sum is σ = 31125523968. Its totient is φ = 2671119360.

The previous prime is 9766298959. The next prime is 9766298987. The reversal of 9766298976 is 6798926679.

It is a self number, because there is not a number n which added to its sum of digits gives 9766298976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10719961 + ... + 10720871.

It is an arithmetic number, because the mean of its divisors is an integer number (108074736).

Almost surely, 2^9766298976 is an apocalyptic number.

9766298976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9766298976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562761984).

9766298976 is an abundant number, since it is smaller than the sum of its proper divisors (21359224992).

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

9766298976 is a wasteful number, since it uses less digits than its factorization.

9766298976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 69.

The square root of 9766298976 is about 98824.5869002244. The cubic root of 9766298976 is about 2137.5191048120.

The spelling of 9766298976 in words is "nine billion, seven hundred sixty-six million, two hundred ninety-eight thousand, nine hundred seventy-six".