71987594079744 has 2880 divisors, whose sum is σ = 274390947230400. Its totient is φ = 18023360495616.

The previous prime is 71987594079721. The next prime is 71987594079757. The reversal of 71987594079744 is 44797049578917.

71987594079744 is a `hidden beast` number, since 7 + 1 + 9 + 87 + 5 + 9 + 407 + 97 + 44 = 666.

It is a super-2 number, since 2×71987594079744² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 637058354632 + ... + 637058354744.

It is an arithmetic number, because the mean of its divisors is an integer number (95274634455).

Almost surely, 2^{71987594079744} 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 71987594079744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137195473615200).

71987594079744 is an abundant number, since it is smaller than the sum of its proper divisors (202403353150656).

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

71987594079744 is a wasteful number, since it uses less digits than its factorization.

71987594079744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4480842240, while the sum is 81.

The spelling of 71987594079744 in words is "seventy-one trillion, nine hundred eighty-seven billion, five hundred ninety-four million, seventy-nine thousand, seven hundred forty-four".