71988668777664 has 336 divisors, whose sum is σ = 217599396460992. Its totient is φ = 22709417803776.

The previous prime is 71988668777639. The next prime is 71988668777671. The reversal of 71988668777664 is 46677786688917.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5799451522 + ... + 5799463934.

It is an arithmetic number, because the mean of its divisors is an integer number (647617251372).

Almost surely, 2^{71988668777664} 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 71988668777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108799698230496).

71988668777664 is an abundant number, since it is smaller than the sum of its proper divisors (145610727683328).

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

71988668777664 is a wasteful number, since it uses less digits than its factorization.

71988668777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17064 (or 17051 counting only the distinct ones).

The product of its digits is 57354780672, while the sum is 90.

The spelling of 71988668777664 in words is "seventy-one trillion, nine hundred eighty-eight billion, six hundred sixty-eight million, seven hundred seventy-seven thousand, six hundred sixty-four".