4787566560 has 576 divisors, whose sum is σ = 19813248000. Its totient is φ = 1091252736.

The previous prime is 4787566547. The next prime is 4787566577. The reversal of 4787566560 is 656657874.

4787566560 is a `hidden beast` number, since 4 + 7 + 8 + 75 + 6 + 6 + 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 = 4787566497 and 4787566506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13335661 + ... + 13336019.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^4787566560 is an apocalyptic number.

4787566560 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 4787566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

4787566560 is an abundant number, since it is smaller than the sum of its proper divisors (15025681440).

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

4787566560 is an equidigital number, since it uses as much as digits as its factorization.

4787566560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 4787566560 is about 69192.2434959295. The cubic root of 4787566560 is about 1685.4075754484.

The spelling of 4787566560 in words is "four billion, seven hundred eighty-seven million, five hundred sixty-six thousand, five hundred sixty".