4515204960 has 432 divisors, whose sum is σ = 18150350400. Its totient is φ = 1019031552.

The previous prime is 4515204959. The next prime is 4515205021. The reversal of 4515204960 is 694025154.

4515204960 is a `hidden beast` number, since 45 + 1 + 520 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6279481 + ... + 6280199.

It is an arithmetic number, because the mean of its divisors is an integer number (42014700).

Almost surely, 2^4515204960 is an apocalyptic number.

4515204960 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 4515204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075175200).

4515204960 is an abundant number, since it is smaller than the sum of its proper divisors (13635145440).

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

4515204960 is a wasteful number, since it uses less digits than its factorization.

4515204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4515204960 is about 67195.2748338750. The cubic root of 4515204960 is about 1652.8210033857.

The spelling of 4515204960 in words is "four billion, five hundred fifteen million, two hundred four thousand, nine hundred sixty".