4560218880 has 288 divisors, whose sum is σ = 17522803200. Its totient is φ = 987365376.

The previous prime is 4560218863. The next prime is 4560218903. The reversal of 4560218880 is 888120654.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 506256 + ... + 515184.

Almost surely, 2^4560218880 is an apocalyptic number.

4560218880 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 4560218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761401600).

4560218880 is an abundant number, since it is smaller than the sum of its proper divisors (12962584320).

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

4560218880 is a wasteful number, since it uses less digits than its factorization.

4560218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 4560218880 is about 67529.3927116185. The cubic root of 4560218880 is about 1658.2954002473.

The spelling of 4560218880 in words is "four billion, five hundred sixty million, two hundred eighteen thousand, eight hundred eighty".