71668644100 has 81 divisors (see below), whose sum is σ = 164253651807. Its totient is φ = 27139368960.

The previous prime is 71668644077. The next prime is 71668644127. The reversal of 71668644100 is 144686617.

The square root of 71668644100 is 267710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37897966276 + 33770677824 = 194674^2 + 183768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50864196 + ... + 50865604.

Almost surely, 2^71668644100 is an apocalyptic number.

71668644100 is the 267710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71668644100

71668644100 is an abundant number, since it is smaller than the sum of its proper divisors (92585007707).

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

71668644100 is a wasteful number, since it uses less digits than its factorization.

71668644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 71668644100 in words is "seventy-one billion, six hundred sixty-eight million, six hundred forty-four thousand, one hundred".