4584807482880 has 320 divisors, whose sum is σ = 14893596748800. Its totient is φ = 1202954403840.

The previous prime is 4584807482863. The next prime is 4584807482881. The reversal of 4584807482880 is 882847084854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4584807482881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277539261 + ... + 277555779.

It is an arithmetic number, because the mean of its divisors is an integer number (46542489840).

Almost surely, 2^{4584807482880} is an apocalyptic number.

4584807482880 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 4584807482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446798374400).

4584807482880 is an abundant number, since it is smaller than the sum of its proper divisors (10308789265920).

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

4584807482880 is a wasteful number, since it uses less digits than its factorization.

4584807482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17125 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 146800640, while the sum is 66.

The spelling of 4584807482880 in words is "four trillion, five hundred eighty-four billion, eight hundred seven million, four hundred eighty-two thousand, eight hundred eighty".