4580868096 has 288 divisors, whose sum is σ = 15442536330. Its totient is φ = 1304690688.

The previous prime is 4580868091. The next prime is 4580868119. The reversal of 4580868096 is 6908680854.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4515840000 + 65028096 = 67200^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (4580868091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14450530 + ... + 14450846.

Almost surely, 2^4580868096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4580868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721268165).

4580868096 is an abundant number, since it is smaller than the sum of its proper divisors (10861668234).

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

4580868096 is an equidigital number, since it uses as much as digits as its factorization.

4580868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 4580868096 is about 67682.1106053882. The cubic root of 4580868096 is about 1660.7946183572.

The spelling of 4580868096 in words is "four billion, five hundred eighty million, eight hundred sixty-eight thousand, ninety-six".