71649847296 has 480 divisors, whose sum is σ = 226897070400. Its totient is φ = 22481141760.

The previous prime is 71649847289. The next prime is 71649847301. The reversal of 71649847296 is 69274894617.

71649847296 is a `hidden beast` number, since 7 + 16 + 498 + 47 + 2 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339572631 + ... + 339572841.

It is an arithmetic number, because the mean of its divisors is an integer number (472702230).

Almost surely, 2^71649847296 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 71649847296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113448535200).

71649847296 is an abundant number, since it is smaller than the sum of its proper divisors (155247223104).

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

71649847296 is a wasteful number, since it uses less digits than its factorization.

71649847296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 328 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 71649847296 in words is "seventy-one billion, six hundred forty-nine million, eight hundred forty-seven thousand, two hundred ninety-six".