71671311360 has 264 divisors, whose sum is σ = 270917436816. Its totient is φ = 17374740480.

The previous prime is 71671311307. The next prime is 71671311367. The reversal of 71671311360 is 6311317617.

It is a happy number.

71671311360 is a `hidden beast` number, since 7 + 167 + 131 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71671311367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436182 + ... + 577578.

Almost surely, 2^71671311360 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 71671311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135458718408).

71671311360 is an abundant number, since it is smaller than the sum of its proper divisors (199246125456).

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

71671311360 is a wasteful number, since it uses less digits than its factorization.

71671311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141439 (or 141418 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 71671311360 its reverse (6311317617), we get a palindrome (77982628977).

The spelling of 71671311360 in words is "seventy-one billion, six hundred seventy-one million, three hundred eleven thousand, three hundred sixty".