4515965568 has 128 divisors (see below), whose sum is σ = 13434624000. Its totient is φ = 1493323776.

The previous prime is 4515965549. The next prime is 4515965569. The reversal of 4515965568 is 8655695154.

4515965568 is a `hidden beast` number, since 4 + 5 + 15 + 9 + 65 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4515965568² = 40787890022723125248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4515965569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 433768 + ... + 444056.

It is an arithmetic number, because the mean of its divisors is an integer number (104958000).

Almost surely, 2^4515965568 is an apocalyptic number.

4515965568 is a gapful number since it is divisible by the number (48) 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 4515965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717312000).

4515965568 is an abundant number, since it is smaller than the sum of its proper divisors (8918658432).

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

4515965568 is a wasteful number, since it uses less digits than its factorization.

4515965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10421 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The square root of 4515965568 is about 67200.9342792197. The cubic root of 4515965568 is about 1652.9138067250.

The spelling of 4515965568 in words is "four billion, five hundred fifteen million, nine hundred sixty-five thousand, five hundred sixty-eight".