9768940896 has 576 divisors, whose sum is σ = 33114977280. Its totient is φ = 2490808320.

The previous prime is 9768940823. The next prime is 9768940897. The reversal of 9768940896 is 6980498679.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768940897) 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 95 ways as a sum of consecutive naturals, for example, 145805055 + ... + 145805121.

It is an arithmetic number, because the mean of its divisors is an integer number (57491280).

Almost surely, 2^9768940896 is an apocalyptic number.

9768940896 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 9768940896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557488640).

9768940896 is an abundant number, since it is smaller than the sum of its proper divisors (23346036384).

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

9768940896 is a wasteful number, since it uses less digits than its factorization.

9768940896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The square root of 9768940896 is about 98837.9527104847. The cubic root of 9768940896 is about 2137.7118303385.

The spelling of 9768940896 in words is "nine billion, seven hundred sixty-eight million, nine hundred forty thousand, eight hundred ninety-six".