4560560547840 has 1920 divisors, whose sum is σ = 19115864127360. Its totient is φ = 1040555704320.

The previous prime is 4560560547839. The next prime is 4560560547841. The reversal of 4560560547840 is 487450650654.

4560560547840 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 56 + 0 + 547 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4560560547839) and next prime (4560560547841).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-4 number, since 4×4560560547840⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560560547841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 268268267512 + ... + 268268267528.

It is an arithmetic number, because the mean of its divisors is an integer number (9956179233).

Almost surely, 2^{4560560547840} is an apocalyptic number.

4560560547840 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 4560560547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557932063680).

4560560547840 is an abundant number, since it is smaller than the sum of its proper divisors (14555303579520).

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

4560560547840 is an frugal number, since it uses more digits than its factorization.

4560560547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 4560560547840 in words is "four trillion, five hundred sixty billion, five hundred sixty million, five hundred forty-seven thousand, eight hundred forty".