4510516464 has 60 divisors (see below), whose sum is σ = 12693774600. Its totient is φ = 1495097472.

The previous prime is 4510516463. The next prime is 4510516469. The reversal of 4510516464 is 4646150154.

4510516464 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 5 + 1 + 646 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4510516463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61719 + ... + 113270.

It is an arithmetic number, because the mean of its divisors is an integer number (211562910).

Almost surely, 2^4510516464 is an apocalyptic number.

It is an amenable number.

4510516464 is an abundant number, since it is smaller than the sum of its proper divisors (8183258136).

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

4510516464 is a wasteful number, since it uses less digits than its factorization.

4510516464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175182 (or 175173 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4510516464 is about 67160.3786767168. The cubic root of 4510516464 is about 1652.2487201414.

The spelling of 4510516464 in words is "four billion, five hundred ten million, five hundred sixteen thousand, four hundred sixty-four".