4564042560 has 504 divisors, whose sum is σ = 19730850048. Its totient is φ = 947865600.

The previous prime is 4564042517. The next prime is 4564042627. The reversal of 4564042560 is 652404654.

4564042560 is a `hidden beast` number, since 4 + 5 + 640 + 4 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2438425 + ... + 2440295.

It is an arithmetic number, because the mean of its divisors is an integer number (39148512).

Almost surely, 2^4564042560 is an apocalyptic number.

4564042560 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 4564042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865425024).

4564042560 is an abundant number, since it is smaller than the sum of its proper divisors (15166807488).

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

4564042560 is a wasteful number, since it uses less digits than its factorization.

4564042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4564042560 is about 67557.6980069629. The cubic root of 4564042560 is about 1658.7587566290.

The spelling of 4564042560 in words is "four billion, five hundred sixty-four million, forty-two thousand, five hundred sixty".