65680492184064 has 640 divisors, whose sum is σ = 200823637893120. Its totient is φ = 21183763120128.

The previous prime is 65680492184063. The next prime is 65680492184093. The reversal of 65680492184064 is 46048129408656.

65680492184064 is a `hidden beast` number, since 6 + 5 + 6 + 8 + 0 + 4 + 9 + 218 + 406 + 4 = 666.

65680492184064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65680492183992 and 65680492184010.

It is not an unprimeable number, because it can be changed into a prime (65680492184063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67226705944 + ... + 67226706920.

It is an arithmetic number, because the mean of its divisors is an integer number (313786934208).

Almost surely, 2^{65680492184064} is an apocalyptic number.

65680492184064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65680492184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100411818946560).

65680492184064 is an abundant number, since it is smaller than the sum of its proper divisors (135143145709056).

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

65680492184064 is a wasteful number, since it uses less digits than its factorization.

65680492184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 65680492184064 in words is "sixty-five trillion, six hundred eighty billion, four hundred ninety-two million, one hundred eighty-four thousand, sixty-four".