4641584578560 has 648 divisors, whose sum is σ = 16959751983720. Its totient is φ = 1172526071808.

The previous prime is 4641584578559. The next prime is 4641584578567. The reversal of 4641584578560 is 658754851464.

4641584578560 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 5 + 8 + 4 + 578 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 872146796544 + 3769437782016 = 933888^2 + 1941504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641584578567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87577067494 + ... + 87577067546.

It is an arithmetic number, because the mean of its divisors is an integer number (26172456765).

Almost surely, 2^{4641584578560} is an apocalyptic number.

4641584578560 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 4641584578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479875991860).

4641584578560 is an abundant number, since it is smaller than the sum of its proper divisors (12318167405160).

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

4641584578560 is an frugal number, since it uses more digits than its factorization.

4641584578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 4641584578560 in words is "four trillion, six hundred forty-one billion, five hundred eighty-four million, five hundred seventy-eight thousand, five hundred sixty".