71277905664 has 1080 divisors, whose sum is σ = 266442145200. Its totient is φ = 18858147840.

The previous prime is 71277905651. The next prime is 71277905669. The reversal of 71277905664 is 46650977217.

71277905664 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 79 + 0 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71277905664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71277905669) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1208100067 + ... + 1208100125.

It is an arithmetic number, because the mean of its divisors is an integer number (246705690).

Almost surely, 2^71277905664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71277905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133221072600).

71277905664 is an abundant number, since it is smaller than the sum of its proper divisors (195164239536).

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

71277905664 is a wasteful number, since it uses less digits than its factorization.

71277905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 71277905664 in words is "seventy-one billion, two hundred seventy-seven million, nine hundred five thousand, six hundred sixty-four".