4468800000 has 720 divisors, whose sum is σ = 18221021280. Its totient is φ = 967680000.

The previous prime is 4468799999. The next prime is 4468800029. The reversal of 4468800000 is 88644.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235199991 + ... + 235200009.

It is an arithmetic number, because the mean of its divisors is an integer number (25306974).

Almost surely, 2^4468800000 is an apocalyptic number.

4468800000 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 4468800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110510640).

4468800000 is an abundant number, since it is smaller than the sum of its proper divisors (13752221280).

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

4468800000 is an frugal number, since it uses more digits than its factorization.

4468800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4468800000 is about 66849.0837633546. The cubic root of 4468800000 is about 1647.1392117627.

Adding to 4468800000 its reverse (88644), we get a palindrome (4468888644).

The spelling of 4468800000 in words is "four billion, four hundred sixty-eight million, eight hundred thousand".