71634548664 has 80 divisors (see below), whose sum is σ = 229306374000. Its totient is φ = 20467012608.

The previous prime is 71634548659. The next prime is 71634548669. The reversal of 71634548664 is 46684543617.

71634548664 is a `hidden beast` number, since 7 + 1 + 6 + 34 + 548 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (71634548659) and next prime (71634548669).

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 71634548664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71634548669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7891689 + ... + 7900760.

It is an arithmetic number, because the mean of its divisors is an integer number (2866329675).

Almost surely, 2^71634548664 is an apocalyptic number.

It is an amenable number.

71634548664 is an abundant number, since it is smaller than the sum of its proper divisors (157671825336).

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

71634548664 is a wasteful number, since it uses less digits than its factorization.

71634548664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15792474 (or 15792461 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 71634548664 in words is "seventy-one billion, six hundred thirty-four million, five hundred forty-eight thousand, six hundred sixty-four".