4827005568 has 768 divisors, whose sum is σ = 19144339200. Its totient is φ = 1167851520.

The previous prime is 4827005531. The next prime is 4827005569. The reversal of 4827005568 is 8655007284.

4827005568 is a `hidden beast` number, since 4 + 82 + 7 + 0 + 0 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4827005569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49762896 + ... + 49762992.

It is an arithmetic number, because the mean of its divisors is an integer number (24927525).

Almost surely, 2^4827005568 is an apocalyptic number.

4827005568 is a gapful number since it is divisible by the number (48) 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 4827005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572169600).

4827005568 is an abundant number, since it is smaller than the sum of its proper divisors (14317333632).

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

4827005568 is a wasteful number, since it uses less digits than its factorization.

4827005568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4827005568 is about 69476.6548417524. The cubic root of 4827005568 is about 1690.0229409955.

The spelling of 4827005568 in words is "four billion, eight hundred twenty-seven million, five thousand, five hundred sixty-eight".