4170681664677 has 12 divisors (see below), whose sum is σ = 6571983229344. Its totient is φ = 2527685857320.

The previous prime is 4170681664661. The next prime is 4170681664697. The reversal of 4170681664677 is 7764661860714.

4170681664677 is a `hidden beast` number, since 4 + 1 + 7 + 0 + 6 + 8 + 166 + 467 + 7 = 666.

It is not a de Polignac number, because 4170681664677 - 2⁴ = 4170681664661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170681664657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21064048713 + ... + 21064048910.

It is an arithmetic number, because the mean of its divisors is an integer number (547665269112).

Almost surely, 2^{4170681664677} is an apocalyptic number.

It is an amenable number.

4170681664677 is a deficient number, since it is larger than the sum of its proper divisors (2401301564667).

4170681664677 is a wasteful number, since it uses less digits than its factorization.

4170681664677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42128097640 (or 42128097637 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 4170681664677 in words is "four trillion, one hundred seventy billion, six hundred eighty-one million, six hundred sixty-four thousand, six hundred seventy-seven".