65975688664340 has 384 divisors, whose sum is σ = 174726158745600. Its totient is φ = 20371273666560.

The previous prime is 65975688664267. The next prime is 65975688664373. The reversal of 65975688664340 is 4346688657956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9372874541 + ... + 9372881579.

It is an arithmetic number, because the mean of its divisors is an integer number (455016038400).

Almost surely, 2^{65975688664340} 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 65975688664340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87363079372800).

65975688664340 is an abundant number, since it is smaller than the sum of its proper divisors (108750470081260).

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

65975688664340 is a wasteful number, since it uses less digits than its factorization.

65975688664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 77.

The spelling of 65975688664340 in words is "sixty-five trillion, nine hundred seventy-five billion, six hundred eighty-eight million, six hundred sixty-four thousand, three hundred forty".