4777729805 has 16 divisors (see below), whose sum is σ = 5764004400. Its totient is φ = 3801738240.

The previous prime is 4777729783. The next prime is 4777729829. The reversal of 4777729805 is 5089277774.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28590409 + 4749139396 = 5347^2 + 68914^2 .

It is not a de Polignac number, because 4777729805 - 2⁶ = 4777729741 is a prime.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1286291 + ... + 1289999.

It is an arithmetic number, because the mean of its divisors is an integer number (360250275).

Almost surely, 2^4777729805 is an apocalyptic number.

It is an amenable number.

4777729805 is a deficient number, since it is larger than the sum of its proper divisors (986274595).

4777729805 is a wasteful number, since it uses less digits than its factorization.

4777729805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024.

The product of its (nonzero) digits is 6914880, while the sum is 56.

The square root of 4777729805 is about 69121.1241589718. The cubic root of 4777729805 is about 1684.2524786099.

The spelling of 4777729805 in words is "four billion, seven hundred seventy-seven million, seven hundred twenty-nine thousand, eight hundred five".