71983484928 has 312 divisors, whose sum is σ = 220128472512. Its totient is φ = 22617391104.

The previous prime is 71983484899. The next prime is 71983484959. The reversal of 71983484928 is 82948438917.

71983484928 is a `hidden beast` number, since 71 + 9 + 83 + 484 + 9 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61894075 + ... + 61895237.

It is an arithmetic number, because the mean of its divisors is an integer number (705539976).

Almost surely, 2^71983484928 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 71983484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110064236256).

71983484928 is an abundant number, since it is smaller than the sum of its proper divisors (148144987584).

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

71983484928 is a wasteful number, since it uses less digits than its factorization.

71983484928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1264 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 71983484928 in words is "seventy-one billion, nine hundred eighty-three million, four hundred eighty-four thousand, nine hundred twenty-eight".