4804576560 has 320 divisors, whose sum is σ = 19151631360. Its totient is φ = 1097908992.

The previous prime is 4804576529. The next prime is 4804576573. The reversal of 4804576560 is 656754084.

4804576560 is a `hidden beast` number, since 4 + 80 + 4 + 5 + 7 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222759 + ... + 1226681.

It is an arithmetic number, because the mean of its divisors is an integer number (59848848).

Almost surely, 2^4804576560 is an apocalyptic number.

4804576560 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 4804576560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575815680).

4804576560 is an abundant number, since it is smaller than the sum of its proper divisors (14347054800).

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

4804576560 is an equidigital number, since it uses as much as digits as its factorization.

4804576560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4804576560 is about 69315.0529106052. The cubic root of 4804576560 is about 1687.4012742242.

The spelling of 4804576560 in words is "four billion, eight hundred four million, five hundred seventy-six thousand, five hundred sixty".