71777766006 has 32 divisors (see below), whose sum is σ = 160069806720. Its totient is φ = 23841373032.

The previous prime is 71777765989. The next prime is 71777766089. The reversal of 71777766006 is 60066777717.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333160 + ... + 2363723.

It is an arithmetic number, because the mean of its divisors is an integer number (5002181460).

Almost surely, 2^71777766006 is an apocalyptic number.

71777766006 is an abundant number, since it is smaller than the sum of its proper divisors (88292040714).

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

71777766006 is a wasteful number, since it uses less digits than its factorization.

71777766006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697177 (or 4697171 counting only the distinct ones).

The product of its (nonzero) digits is 3630312, while the sum is 54.

The spelling of 71777766006 in words is "seventy-one billion, seven hundred seventy-seven million, seven hundred sixty-six thousand, six".