4712686882767 has 16 divisors (see below), whose sum is σ = 6981792929280. Its totient is φ = 3141775692216.

The previous prime is 4712686882747. The next prime is 4712686882823. The reversal of 4712686882767 is 7672886862174.

4712686882767 is a `hidden beast` number, since 471 + 2 + 6 + 8 + 6 + 8 + 82 + 76 + 7 = 666.

It is not a de Polignac number, because 4712686882767 - 2¹⁴ = 4712686866383 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4712686882695 and 4712686882704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712686882747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8400778 + ... + 8944184.

It is an arithmetic number, because the mean of its divisors is an integer number (436362058080).

Almost surely, 2^{4712686882767} is an apocalyptic number.

4712686882767 is a deficient number, since it is larger than the sum of its proper divisors (2269106046513).

4712686882767 is a wasteful number, since it uses less digits than its factorization.

4712686882767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864619 (or 864613 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 72.

The spelling of 4712686882767 in words is "four trillion, seven hundred twelve billion, six hundred eighty-six million, eight hundred eighty-two thousand, seven hundred sixty-seven".