7071167006661 has 32 divisors (see below), whose sum is σ = 9649614528000. Its totient is φ = 4604509601280.

The previous prime is 7071167006633. The next prime is 7071167006689. The reversal of 7071167006661 is 1666007611707.

It is an interprime number because it is at equal distance from previous prime (7071167006633) and next prime (7071167006689).

It is not a de Polignac number, because 7071167006661 - 2⁶ = 7071167006597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7071167006661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7071167006861) 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, 111190305 + ... + 111253881.

It is an arithmetic number, because the mean of its divisors is an integer number (301550454000).

Almost surely, 2^{7071167006661} is an apocalyptic number.

It is an amenable number.

7071167006661 is a deficient number, since it is larger than the sum of its proper divisors (2578447521339).

7071167006661 is a wasteful number, since it uses less digits than its factorization.

7071167006661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67869.

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 7071167006661 in words is "seven trillion, seventy-one billion, one hundred sixty-seven million, six thousand, six hundred sixty-one".