8461716264 has 24 divisors (see below), whose sum is σ = 22917148410. Its totient is φ = 2820572064.

The previous prime is 8461716229. The next prime is 8461716281. The reversal of 8461716264 is 4626171648.

8461716264 is a `hidden beast` number, since 8 + 4 + 6 + 17 + 1 + 626 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8270447364 + 191268900 = 90942^2 + 13830^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58761847 + ... + 58761990.

Almost surely, 2^8461716264 is an apocalyptic number.

It is an amenable number.

8461716264 is an abundant number, since it is smaller than the sum of its proper divisors (14455432146).

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

8461716264 is a wasteful number, since it uses less digits than its factorization.

8461716264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117523849 (or 117523842 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8461716264 is about 91987.5875539738. The cubic root of 8461716264 is about 2037.7589981472.

The spelling of 8461716264 in words is "eight billion, four hundred sixty-one million, seven hundred sixteen thousand, two hundred sixty-four".