4768882560 has 768 divisors, whose sum is σ = 19352908800. Its totient is φ = 1107025920.

The previous prime is 4768882543. The next prime is 4768882571. The reversal of 4768882560 is 652888674.

4768882560 is a `hidden beast` number, since 4 + 76 + 8 + 8 + 8 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4768882497 and 4768882506.

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 95 ways as a sum of consecutive naturals, for example, 67167325 + ... + 67167395.

It is an arithmetic number, because the mean of its divisors is an integer number (25199100).

Almost surely, 2^4768882560 is an apocalyptic number.

4768882560 is a gapful number since it is divisible by the number (40) 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 4768882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676454400).

4768882560 is an abundant number, since it is smaller than the sum of its proper divisors (14584026240).

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

4768882560 is a wasteful number, since it uses less digits than its factorization.

4768882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 4768882560 is about 69057.0963768388. The cubic root of 4768882560 is about 1683.2122215472.

The spelling of 4768882560 in words is "four billion, seven hundred sixty-eight million, eight hundred eighty-two thousand, five hundred sixty".