4680644006727 has 36 divisors (see below), whose sum is σ = 7413678461280. Its totient is φ = 2843935526016.

The previous prime is 4680644006711. The next prime is 4680644006747. The reversal of 4680644006727 is 7276004460864.

4680644006727 is a `hidden beast` number, since 46 + 80 + 6 + 440 + 0 + 67 + 27 = 666.

It is not a de Polignac number, because 4680644006727 - 2⁴ = 4680644006711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680644006747) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19356718 + ... + 19597035.

Almost surely, 2^{4680644006727} is an apocalyptic number.

4680644006727 is a deficient number, since it is larger than the sum of its proper divisors (2733034454553).

4680644006727 is a wasteful number, since it uses less digits than its factorization.

4680644006727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38953864 (or 38953848 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 4680644006727 in words is "four trillion, six hundred eighty billion, six hundred forty-four million, six thousand, seven hundred twenty-seven".