4516638761 has 8 divisors (see below), whose sum is σ = 4898966184. Its totient is φ = 4147271680.

The previous prime is 4516638757. The next prime is 4516638817. The reversal of 4516638761 is 1678366154.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 4516512025 = 356^2 + 67205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4516638761 - 2² = 4516638757 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4516638361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3239360 + ... + 3240753.

It is an arithmetic number, because the mean of its divisors is an integer number (612370773).

Almost surely, 2^4516638761 is an apocalyptic number.

4516638761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4516638761 is a deficient number, since it is larger than the sum of its proper divisors (382327423).

4516638761 is a wasteful number, since it uses less digits than its factorization.

4516638761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480171.

The product of its digits is 725760, while the sum is 47.

The square root of 4516638761 is about 67205.9428994192. The cubic root of 4516638761 is about 1652.9959356887.

The spelling of 4516638761 in words is "four billion, five hundred sixteen million, six hundred thirty-eight thousand, seven hundred sixty-one".