71254973664 has 144 divisors (see below), whose sum is σ = 236305087200. Its totient is φ = 20358535680.

The previous prime is 71254973651. The next prime is 71254973701. The reversal of 71254973664 is 46637945217.

71254973664 is a `hidden beast` number, since 7 + 1 + 2 + 549 + 7 + 36 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 71254973664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261877 + ... + 459444.

It is an arithmetic number, because the mean of its divisors is an integer number (1641007550).

Almost surely, 2^71254973664 is an apocalyptic number.

It is an amenable number.

71254973664 is an abundant number, since it is smaller than the sum of its proper divisors (165050113536).

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

71254973664 is a wasteful number, since it uses less digits than its factorization.

71254973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721358 (or 721333 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 71254973664 in words is "seventy-one billion, two hundred fifty-four million, nine hundred seventy-three thousand, six hundred sixty-four".