4368960000 has 600 divisors, whose sum is σ = 16576884324. Its totient is φ = 1105920000.

The previous prime is 4368959993. The next prime is 4368960017. The reversal of 4368960000 is 698634.

4368960000 is a `hidden beast` number, since 43 + 6 + 8 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 481188096 + 3887771904 = 21936^2 + 62352^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×4368960000² = 38175622963200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 106559980 + ... + 106560020.

Almost surely, 2^4368960000 is an apocalyptic number.

4368960000 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 4368960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288442162).

4368960000 is an abundant number, since it is smaller than the sum of its proper divisors (12207924324).

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

4368960000 is an equidigital number, since it uses as much as digits as its factorization.

4368960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4368960000 is about 66098.1088988180. The cubic root of 4368960000 is about 1634.7801516814.

The spelling of 4368960000 in words is "four billion, three hundred sixty-eight million, nine hundred sixty thousand".