71164016640 has 1152 divisors, whose sum is σ = 287575142400. Its totient is φ = 16641884160.

The previous prime is 71164016597. The next prime is 71164016657. The reversal of 71164016640 is 4661046117.

It is a happy number.

71164016640 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 4 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 71164016595 and 71164016604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2295613425 + ... + 2295613455.

It is an arithmetic number, because the mean of its divisors is an integer number (249631200).

Almost surely, 2^71164016640 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 71164016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143787571200).

71164016640 is an abundant number, since it is smaller than the sum of its proper divisors (216411125760).

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

71164016640 is a wasteful number, since it uses less digits than its factorization.

71164016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 71164016640 in words is "seventy-one billion, one hundred sixty-four million, sixteen thousand, six hundred forty".