71749651776 has 224 divisors, whose sum is σ = 215484334080. Its totient is φ = 20872857600.

The previous prime is 71749651769. The next prime is 71749651789. The reversal of 71749651776 is 67715694717.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8310630 + ... + 8319258.

Almost surely, 2^71749651776 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 71749651776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107742167040).

71749651776 is an abundant number, since it is smaller than the sum of its proper divisors (143734682304).

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

71749651776 is a wasteful number, since it uses less digits than its factorization.

71749651776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813 (or 8803 counting only the distinct ones).

The product of its digits is 15558480, while the sum is 60.

The spelling of 71749651776 in words is "seventy-one billion, seven hundred forty-nine million, six hundred fifty-one thousand, seven hundred seventy-six".