4585567680 has 224 divisors, whose sum is σ = 16245230400. Its totient is φ = 1217654784.

The previous prime is 4585567639. The next prime is 4585567691. The reversal of 4585567680 is 867655854.

4585567680 is a `hidden beast` number, since 4 + 5 + 8 + 556 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2323174 + ... + 2325146.

It is an arithmetic number, because the mean of its divisors is an integer number (72523350).

Almost surely, 2^4585567680 is an apocalyptic number.

4585567680 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 4585567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122615200).

4585567680 is an abundant number, since it is smaller than the sum of its proper divisors (11659662720).

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

4585567680 is a wasteful number, since it uses less digits than its factorization.

4585567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 4585567680 is about 67716.8197717524. The cubic root of 4585567680 is about 1661.3623692774.

The spelling of 4585567680 in words is "four billion, five hundred eighty-five million, five hundred sixty-seven thousand, six hundred eighty".