4677556557764 has 36 divisors (see below), whose sum is σ = 8479061927700. Its totient is φ = 2257774288896.

The previous prime is 4677556557749. The next prime is 4677556557787.

4677556557764 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 40726468864 + 4636830088900 = 201808^2 + 2153330^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4677556557691 and 4677556557700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21857072 + ... + 22070040.

Almost surely, 2^{4677556557764} is an apocalyptic number.

It is an amenable number.

4677556557764 is a deficient number, since it is larger than the sum of its proper divisors (3801505369936).

4677556557764 is a wasteful number, since it uses less digits than its factorization.

4677556557764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219560 (or 219529 counting only the distinct ones).

The product of its digits is 5186160000, while the sum is 74.

The spelling of 4677556557764 in words is "four trillion, six hundred seventy-seven billion, five hundred fifty-six million, five hundred fifty-seven thousand, seven hundred sixty-four".