5768848000 has 256 divisors, whose sum is σ = 15397724160. Its totient is φ = 2141798400.

The previous prime is 5768847989. The next prime is 5768848021. The reversal of 5768848000 is 8488675.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34543917 + ... + 34544083.

It is an arithmetic number, because the mean of its divisors is an integer number (60147360).

Almost surely, 2^5768848000 is an apocalyptic number.

5768848000 is a gapful number since it is divisible by the number (50) 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 5768848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

5768848000 is an abundant number, since it is smaller than the sum of its proper divisors (9628876160).

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

5768848000 is a wasteful number, since it uses less digits than its factorization.

5768848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 5768848000 is about 75952.9327939350. The cubic root of 5768848000 is about 1793.4792871295.

The spelling of 5768848000 in words is "five billion, seven hundred sixty-eight million, eight hundred forty-eight thousand".