71770689828864 has 288 divisors, whose sum is σ = 232937837627040. Its totient is φ = 21123144548352.

The previous prime is 71770689828857. The next prime is 71770689828889. The reversal of 71770689828864 is 46882898607717.

71770689828864 is a `hidden beast` number, since 71 + 7 + 70 + 68 + 98 + 288 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×71770689828864³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1000219 + ... + 12022554.

It is an arithmetic number, because the mean of its divisors is an integer number (808811936205).

Almost surely, 2^{71770689828864} 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 71770689828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116468918813520).

71770689828864 is an abundant number, since it is smaller than the sum of its proper divisors (161167147798176).

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

71770689828864 is a wasteful number, since it uses less digits than its factorization.

71770689828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022837 (or 13022814 counting only the distinct ones).

The product of its (nonzero) digits is 3641573376, while the sum is 81.

The spelling of 71770689828864 in words is "seventy-one trillion, seven hundred seventy billion, six hundred eighty-nine million, eight hundred twenty-eight thousand, eight hundred sixty-four".