8816768352 has 480 divisors, whose sum is σ = 31028659200. Its totient is φ = 2453794560.

The previous prime is 8816768351. The next prime is 8816768449. The reversal of 8816768352 is 2538676188.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3870720) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8816768351) 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 79 ways as a sum of consecutive naturals, for example, 41785527 + ... + 41785737.

It is an arithmetic number, because the mean of its divisors is an integer number (64643040).

Almost surely, 2^8816768352 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 8816768352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514329600).

8816768352 is an abundant number, since it is smaller than the sum of its proper divisors (22211890848).

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

8816768352 is a wasteful number, since it uses less digits than its factorization.

8816768352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 270 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8816768352 is about 93897.6482772599. The cubic root of 8816768352 is about 2065.8707349650.

The spelling of 8816768352 in words is "eight billion, eight hundred sixteen million, seven hundred sixty-eight thousand, three hundred fifty-two".