71899985664 has 360 divisors, whose sum is σ = 233097923520. Its totient is φ = 21911150592.

The previous prime is 71899985593. The next prime is 71899985669. The reversal of 71899985664 is 46658999817.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 71899985592 and 71899985601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71899985669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29381689 + ... + 29384135.

It is an arithmetic number, because the mean of its divisors is an integer number (647494232).

Almost surely, 2^71899985664 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 71899985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116548961760).

71899985664 is an abundant number, since it is smaller than the sum of its proper divisors (161197937856).

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

71899985664 is a wasteful number, since it uses less digits than its factorization.

71899985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2574 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 71899985664 in words is "seventy-one billion, eight hundred ninety-nine million, nine hundred eighty-five thousand, six hundred sixty-four".