71066767667440 has 40 divisors (see below), whose sum is σ = 165634220807280. Its totient is φ = 28357204102656.

The previous prime is 71066767667393. The next prime is 71066767667453. The reversal of 71066767667440 is 4476676766017.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085950894 + ... + 1086016333.

It is an arithmetic number, because the mean of its divisors is an integer number (4140855520182).

Almost surely, 2^{71066767667440} is an apocalyptic number.

It is an amenable number.

71066767667440 is an abundant number, since it is smaller than the sum of its proper divisors (94567453139840).

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

71066767667440 is a wasteful number, since it uses less digits than its factorization.

71066767667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171967649 (or 2171967643 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 67.

The spelling of 71066767667440 in words is "seventy-one trillion, sixty-six billion, seven hundred sixty-seven million, six hundred sixty-seven thousand, four hundred forty".