9768282982848 has 2240 divisors, whose sum is σ = 36804087936000. Its totient is φ = 2525712482304.

The previous prime is 9768282982811. The next prime is 9768282982853. The reversal of 9768282982848 is 8482892828679.

It is a super-2 number, since 2×9768282982848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (3567255552) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 54571413223 + ... + 54571413401.

It is an arithmetic number, because the mean of its divisors is an integer number (16430396400).

Almost surely, 2^{9768282982848} 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 9768282982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402043968000).

9768282982848 is an abundant number, since it is smaller than the sum of its proper divisors (27035804953152).

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

9768282982848 is a wasteful number, since it uses less digits than its factorization.

9768282982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its digits is 3567255552, while the sum is 81.

The spelling of 9768282982848 in words is "nine trillion, seven hundred sixty-eight billion, two hundred eighty-two million, nine hundred eighty-two thousand, eight hundred forty-eight".