71875160064 has 432 divisors, whose sum is σ = 224358694560. Its totient is φ = 22159687680.

The previous prime is 71875160051. The next prime is 71875160089. The reversal of 71875160064 is 46006157817.

71875160064 is a `hidden beast` number, since 71 + 8 + 7 + 516 + 0 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548665279 + ... + 548665409.

It is an arithmetic number, because the mean of its divisors is an integer number (519348830).

Almost surely, 2^71875160064 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 71875160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112179347280).

71875160064 is an abundant number, since it is smaller than the sum of its proper divisors (152483534496).

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

71875160064 is a wasteful number, since it uses less digits than its factorization.

71875160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 71875160064 in words is "seventy-one billion, eight hundred seventy-five million, one hundred sixty thousand, sixty-four".