4564834560 has 864 divisors, whose sum is σ = 19767017088. Its totient is φ = 955514880.

The previous prime is 4564834513. The next prime is 4564834567. The reversal of 4564834560 is 654384654.

4564834560 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 83 + 4 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4564834567) 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, 28005039 + ... + 28005201.

It is an arithmetic number, because the mean of its divisors is an integer number (22878492).

Almost surely, 2^4564834560 is an apocalyptic number.

4564834560 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 4564834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883508544).

4564834560 is an abundant number, since it is smaller than the sum of its proper divisors (15202182528).

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

4564834560 is a wasteful number, since it uses less digits than its factorization.

4564834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 4564834560 is about 67563.5594089003. The cubic root of 4564834560 is about 1658.8546994205.

It can be divided in two parts, 45648 and 34560, that added together give a palindrome (80208).

The spelling of 4564834560 in words is "four billion, five hundred sixty-four million, eight hundred thirty-four thousand, five hundred sixty".