71967338880 has 128 divisors (see below), whose sum is σ = 229470991200. Its totient is φ = 19185008640.

The previous prime is 71967338879. The next prime is 71967338887. The reversal of 71967338880 is 8883376917.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71967338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11019456 + ... + 11025984.

Almost surely, 2^71967338880 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 71967338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114735495600).

71967338880 is an abundant number, since it is smaller than the sum of its proper divisors (157503652320).

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

71967338880 is a wasteful number, since it uses less digits than its factorization.

71967338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 71967338880 in words is "seventy-one billion, nine hundred sixty-seven million, three hundred thirty-eight thousand, eight hundred eighty".