9768333312 has 312 divisors, whose sum is σ = 30268431648. Its totient is φ = 3027763200.

The previous prime is 9768333301. The next prime is 9768333347. The reversal of 9768333312 is 2133338679.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34762612 + ... + 34762892.

It is an arithmetic number, because the mean of its divisors is an integer number (97014204).

Almost surely, 2^9768333312 is an apocalyptic number.

9768333312 is a gapful number since it is divisible by the number (92) 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 9768333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134215824).

9768333312 is an abundant number, since it is smaller than the sum of its proper divisors (20500098336).

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

9768333312 is a wasteful number, since it uses less digits than its factorization.

9768333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 9768333312 is about 98834.8790255748. The cubic root of 9768333312 is about 2137.6675107463.

The spelling of 9768333312 in words is "nine billion, seven hundred sixty-eight million, three hundred thirty-three thousand, three hundred twelve".