65739488736768 has 960 divisors, whose sum is σ = 228269123174400. Its totient is φ = 16439334912000.

The previous prime is 65739488736743. The next prime is 65739488736769. The reversal of 65739488736768 is 86763788493756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65739488736769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8025815553 + ... + 8025823743.

It is an arithmetic number, because the mean of its divisors is an integer number (237780336640).

Almost surely, 2^{65739488736768} 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 65739488736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114134561587200).

65739488736768 is an abundant number, since it is smaller than the sum of its proper divisors (162529634437632).

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

65739488736768 is a wasteful number, since it uses less digits than its factorization.

65739488736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8444 counting only the distinct ones).

The product of its digits is 61451550720, while the sum is 87.

The spelling of 65739488736768 in words is "sixty-five trillion, seven hundred thirty-nine billion, four hundred eighty-eight million, seven hundred thirty-six thousand, seven hundred sixty-eight".