4677583757 has 18 divisors (see below), whose sum is σ = 5980908654. Its totient is φ = 3644865840.

The previous prime is 4677583733. The next prime is 4677583777. The reversal of 4677583757 is 7573857764.

It can be written as a sum of positive squares in only one way, i.e., 3406589956 + 1270993801 = 58366^2 + 35651^2 .

It is not a de Polignac number, because 4677583757 - 2⁶ = 4677583693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4677583696 and 4677583705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677583727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 388538 + ... + 400395.

It is an arithmetic number, because the mean of its divisors is an integer number (332272703).

Almost surely, 2^4677583757 is an apocalyptic number.

It is an amenable number.

4677583757 is a deficient number, since it is larger than the sum of its proper divisors (1303324897).

4677583757 is a wasteful number, since it uses less digits than its factorization.

4677583757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788969 (or 788951 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 59.

The square root of 4677583757 is about 68392.8633484518. The cubic root of 4677583757 is about 1672.4014069713.

The spelling of 4677583757 in words is "four billion, six hundred seventy-seven million, five hundred eighty-three thousand, seven hundred fifty-seven".