4917749761 has 4 divisors (see below), whose sum is σ = 5131564992. Its totient is φ = 4703934532.

The previous prime is 4917749719. The next prime is 4917749777. The reversal of 4917749761 is 1679477194.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4917749761 - 2¹⁹ = 4917225473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4917749561) 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 3 ways as a sum of consecutive naturals, for example, 106907581 + ... + 106907626.

It is an arithmetic number, because the mean of its divisors is an integer number (1282891248).

Almost surely, 2^4917749761 is an apocalyptic number.

It is an amenable number.

4917749761 is a deficient number, since it is larger than the sum of its proper divisors (213815231).

4917749761 is a wasteful number, since it uses less digits than its factorization.

4917749761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213815230.

The product of its digits is 2667168, while the sum is 55.

The square root of 4917749761 is about 70126.6693990239. The cubic root of 4917749761 is about 1700.5476621883.

The spelling of 4917749761 in words is "four billion, nine hundred seventeen million, seven hundred forty-nine thousand, seven hundred sixty-one".