71789339328 has 224 divisors, whose sum is σ = 219750558720. Its totient is φ = 20259901440.

The previous prime is 71789339299. The next prime is 71789339341. The reversal of 71789339328 is 82393398717.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67534125 + ... + 67535187.

It is an arithmetic number, because the mean of its divisors is an integer number (981029280).

Almost surely, 2^71789339328 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 71789339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109875279360).

71789339328 is an abundant number, since it is smaller than the sum of its proper divisors (147961219392).

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

71789339328 is a wasteful number, since it uses less digits than its factorization.

71789339328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The spelling of 71789339328 in words is "seventy-one billion, seven hundred eighty-nine million, three hundred thirty-nine thousand, three hundred twenty-eight".