4559068800 has 1152 divisors, whose sum is σ = 20303075520. Its totient is φ = 995328000.

The previous prime is 4559068769. The next prime is 4559068807. The reversal of 4559068800 is 88609554.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4559068807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111196780 + ... + 111196820.

Almost surely, 2^4559068800 is an apocalyptic number.

4559068800 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 4559068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151537760).

4559068800 is an abundant number, since it is smaller than the sum of its proper divisors (15744006720).

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

4559068800 is a wasteful number, since it uses less digits than its factorization.

4559068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4559068800 is about 67520.8767715586. The cubic root of 4559068800 is about 1658.1559820326.

The spelling of 4559068800 in words is "four billion, five hundred fifty-nine million, sixty-eight thousand, eight hundred".