4580015664 has 240 divisors, whose sum is σ = 14528474880. Its totient is φ = 1217410560.

The previous prime is 4580015663. The next prime is 4580015669. The reversal of 4580015664 is 4665100854.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4580015663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7398747 + ... + 7399365.

It is an arithmetic number, because the mean of its divisors is an integer number (60535312).

Almost surely, 2^4580015664 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 4580015664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264237440).

4580015664 is an abundant number, since it is smaller than the sum of its proper divisors (9948459216).

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

4580015664 is a wasteful number, since it uses less digits than its factorization.

4580015664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 4580015664 is about 67675.8129910532. The cubic root of 4580015664 is about 1660.6915955041.

The spelling of 4580015664 in words is "four billion, five hundred eighty million, fifteen thousand, six hundred sixty-four".