71163132768 has 1152 divisors, whose sum is σ = 277480304640. Its totient is φ = 17557585920.

The previous prime is 71163132763. The next prime is 71163132797. The reversal of 71163132768 is 86723136117.

71163132768 is a `hidden beast` number, since 7 + 1 + 1 + 631 + 3 + 2 + 7 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (196).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71163132763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 733640496 + ... + 733640592.

It is an arithmetic number, because the mean of its divisors is an integer number (240868320).

Almost surely, 2^71163132768 is an apocalyptic number.

71163132768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71163132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138740152320).

71163132768 is an abundant number, since it is smaller than the sum of its proper divisors (206317171872).

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

71163132768 is a wasteful number, since it uses less digits than its factorization.

71163132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 71163132768 in words is "seventy-one billion, one hundred sixty-three million, one hundred thirty-two thousand, seven hundred sixty-eight".