4515799680 has 512 divisors, whose sum is σ = 18790848000. Its totient is φ = 1003290624.

The previous prime is 4515799679. The next prime is 4515799693. The reversal of 4515799680 is 869975154.

4515799680 is a `hidden beast` number, since 4 + 5 + 1 + 579 + 9 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4475016 + ... + 4476024.

It is an arithmetic number, because the mean of its divisors is an integer number (36700875).

Almost surely, 2^4515799680 is an apocalyptic number.

4515799680 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 4515799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395424000).

4515799680 is an abundant number, since it is smaller than the sum of its proper divisors (14275048320).

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

4515799680 is a wasteful number, since it uses less digits than its factorization.

4515799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 4515799680 is about 67199.6999993304. The cubic root of 4515799680 is about 1652.8935672790.

The spelling of 4515799680 in words is "four billion, five hundred fifteen million, seven hundred ninety-nine thousand, six hundred eighty".