4515074880 has 224 divisors, whose sum is σ = 15978591360. Its totient is φ = 1073479680.

The previous prime is 4515074833. The next prime is 4515074909. The reversal of 4515074880 is 884705154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302800 + ... + 317360.

Almost surely, 2^4515074880 is an apocalyptic number.

4515074880 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 4515074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989295680).

4515074880 is an abundant number, since it is smaller than the sum of its proper divisors (11463516480).

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

4515074880 is a wasteful number, since it uses less digits than its factorization.

4515074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 4515074880 is about 67194.3069017011. The cubic root of 4515074880 is about 1652.8051310150.

The spelling of 4515074880 in words is "four billion, five hundred fifteen million, seventy-four thousand, eight hundred eighty".