71218257264 has 480 divisors, whose sum is σ = 268926787584. Its totient is φ = 17692266240.

The previous prime is 71218257203. The next prime is 71218257283. The reversal of 71218257264 is 46275281217.

71218257264 is a `hidden beast` number, since 7 + 1 + 2 + 18 + 2 + 572 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6880477 + ... + 6890819.

Almost surely, 2^71218257264 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 71218257264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134463393792).

71218257264 is an abundant number, since it is smaller than the sum of its proper divisors (197708530320).

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

71218257264 is a wasteful number, since it uses less digits than its factorization.

71218257264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407 (or 10389 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 71218257264 in words is "seventy-one billion, two hundred eighteen million, two hundred fifty-seven thousand, two hundred sixty-four".