6705270171006 has 64 divisors (see below), whose sum is σ = 15493365144576. Its totient is φ = 1911991910400.

The previous prime is 6705270170983. The next prime is 6705270171007. The reversal of 6705270171006 is 6001710725076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6705270171007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5003691 + ... + 6200601.

It is an arithmetic number, because the mean of its divisors is an integer number (242083830384).

Almost surely, 2^{6705270171006} is an apocalyptic number.

6705270171006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6705270171006 is an abundant number, since it is smaller than the sum of its proper divisors (8788094973570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6705270171006 is a wasteful number, since it uses less digits than its factorization.

6705270171006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201937.

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 6705270171006 in words is "six trillion, seven hundred five billion, two hundred seventy million, one hundred seventy-one thousand, six".