4564546560 has 704 divisors, whose sum is σ = 19100966400. Its totient is φ = 1012137984.

The previous prime is 4564546549. The next prime is 4564546561. The reversal of 4564546560 is 656454654.

4564546560 is a `hidden beast` number, since 4 + 5 + 6 + 45 + 46 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564546561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51286996 + ... + 51287084.

Almost surely, 2^4564546560 is an apocalyptic number.

4564546560 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 4564546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550483200).

4564546560 is an abundant number, since it is smaller than the sum of its proper divisors (14536419840).

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

4564546560 is a wasteful number, since it uses less digits than its factorization.

4564546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The square root of 4564546560 is about 67561.4280488505. The cubic root of 4564546560 is about 1658.8198124168.

The spelling of 4564546560 in words is "four billion, five hundred sixty-four million, five hundred forty-six thousand, five hundred sixty".