8824296768 has 224 divisors, whose sum is σ = 28568294400. Its totient is φ = 2347646976.

The previous prime is 8824296757. The next prime is 8824296779. The reversal of 8824296768 is 8676924288.

It is an interprime number because it is at equal distance from previous prime (8824296757) and next prime (8824296779).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1503696 + ... + 1509552.

Almost surely, 2^8824296768 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 8824296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284147200).

8824296768 is an abundant number, since it is smaller than the sum of its proper divisors (19743997632).

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

8824296768 is a wasteful number, since it uses less digits than its factorization.

8824296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5947 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 8824296768 is about 93937.7281394435. The cubic root of 8824296768 is about 2066.4585659811.

The spelling of 8824296768 in words is "eight billion, eight hundred twenty-four million, two hundred ninety-six thousand, seven hundred sixty-eight".