4580002289664 has 672 divisors, whose sum is σ = 15009587349120. Its totient is φ = 1390274150400.

The previous prime is 4580002289663. The next prime is 4580002289671. The reversal of 4580002289664 is 4669822000854.

It is a super-2 number, since 2×4580002289664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4580002289664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4580002289663) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 786803874 + ... + 786809694.

It is an arithmetic number, because the mean of its divisors is an integer number (22335695460).

Almost surely, 2^{4580002289664} 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 4580002289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504793674560).

4580002289664 is an abundant number, since it is smaller than the sum of its proper divisors (10429585059456).

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

4580002289664 is an equidigital number, since it uses as much as digits as its factorization.

4580002289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4580002289664 in words is "four trillion, five hundred eighty billion, two million, two hundred eighty-nine thousand, six hundred sixty-four".