4566818880 has 280 divisors, whose sum is σ = 17495882712. Its totient is φ = 1124057088.

The previous prime is 4566818849. The next prime is 4566818887. The reversal of 4566818880 is 888186654.

4566818880 is a `hidden beast` number, since 456 + 6 + 8 + 188 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 339738624 + 4227080256 = 18432^2 + 65016^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4566818887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330184 + ... + 343736.

Almost surely, 2^4566818880 is an apocalyptic number.

4566818880 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 4566818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747941356).

4566818880 is an abundant number, since it is smaller than the sum of its proper divisors (12929063832).

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

4566818880 is a wasteful number, since it uses less digits than its factorization.

4566818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13595 (or 13576 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 4566818880 is about 67578.2426524987. The cubic root of 4566818880 is about 1659.0950310006.

The spelling of 4566818880 in words is "four billion, five hundred sixty-six million, eight hundred eighteen thousand, eight hundred eighty".