71678467657728 has 312 divisors, whose sum is σ = 211701275001216. Its totient is φ = 23360289177600.

The previous prime is 71678467657679. The next prime is 71678467657733. The reversal of 71678467657728 is 82775676487617.

71678467657728 is a `hidden beast` number, since 7 + 1 + 6 + 7 + 8 + 467 + 65 + 77 + 28 = 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, 375438133 + ... + 375629003.

It is an arithmetic number, because the mean of its divisors is an integer number (678529727568).

Almost surely, 2^{71678467657728} 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 71678467657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850637500608).

71678467657728 is an abundant number, since it is smaller than the sum of its proper divisors (140022807343488).

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

71678467657728 is a wasteful number, since it uses less digits than its factorization.

71678467657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191129 (or 191104 counting only the distinct ones).

The product of its digits is 9293598720, while the sum is 81.

The spelling of 71678467657728 in words is "seventy-one trillion, six hundred seventy-eight billion, four hundred sixty-seven million, six hundred fifty-seven thousand, seven hundred twenty-eight".