4589880768 has 448 divisors, whose sum is σ = 15800832000. Its totient is φ = 1291852800.

The previous prime is 4589880733. The next prime is 4589880769. The reversal of 4589880768 is 8670889854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4589880769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25641703 + ... + 25641881.

Almost surely, 2^4589880768 is an apocalyptic number.

4589880768 is a gapful number since it is divisible by the number (48) 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 4589880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900416000).

4589880768 is an abundant number, since it is smaller than the sum of its proper divisors (11210951232).

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

4589880768 is a wasteful number, since it uses less digits than its factorization.

4589880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 4589880768 is about 67748.6587911525. The cubic root of 4589880768 is about 1661.8830868248.

The spelling of 4589880768 in words is "four billion, five hundred eighty-nine million, eight hundred eighty thousand, seven hundred sixty-eight".