4909664761 has 9 divisors (see below), whose sum is σ = 5035279693. Its totient is φ = 4787114080.

The previous prime is 4909664743. The next prime is 4909664779. The reversal of 4909664761 is 1674669094.

The square root of 4909664761 is 70069.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4909664743) and next prime (4909664779).

It can be written as a sum of positive squares in 4 ways, for example, as 3017414761 + 1892250000 = 54931^2 + 43500^2 .

It is not a de Polignac number, because 4909664761 - 2¹⁷ = 4909533689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4909664699 and 4909664708.

It is not an unprimeable number, because it can be changed into a prime (4909664701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2871975 + ... + 2873683.

Almost surely, 2^4909664761 is an apocalyptic number.

4909664761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4909664761 is the 70069-th square number.

4909664761 is the 35035-th centered octagonal number.

It is an amenable number.

4909664761 is a deficient number, since it is larger than the sum of its proper divisors (125614932).

4909664761 is an frugal number, since it uses more digits than its factorization.

4909664761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The cubic root of 4909664761 is about 1699.6152256050.

The spelling of 4909664761 in words is "four billion, nine hundred nine million, six hundred sixty-four thousand, seven hundred sixty-one".