4206580560 has 320 divisors, whose sum is σ = 17833858560. Its totient is φ = 887500800.

The previous prime is 4206580549. The next prime is 4206580591. The reversal of 4206580560 is 650856024.

4206580560 is a `hidden beast` number, since 4 + 20 + 6 + 580 + 56 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 185860 + ... + 207260.

It is an arithmetic number, because the mean of its divisors is an integer number (55730808).

Almost surely, 2^4206580560 is an apocalyptic number.

4206580560 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 4206580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916929280).

4206580560 is an abundant number, since it is smaller than the sum of its proper divisors (13627278000).

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

4206580560 is a wasteful number, since it uses less digits than its factorization.

4206580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21443 (or 21431 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4206580560 is about 64858.1572356169. The cubic root of 4206580560 is about 1614.2708463253.

The spelling of 4206580560 in words is "four billion, two hundred six million, five hundred eighty thousand, five hundred sixty".