65998477376832 has 2016 divisors, whose sum is σ = 254532168640512. Its totient is φ = 14917174272000.

The previous prime is 65998477376801. The next prime is 65998477376833. The reversal of 65998477376832 is 23867377489956.

65998477376832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×65998477376832³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65998477376833) 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 287 ways as a sum of consecutive naturals, for example, 24166412907 + ... + 24166415637.

It is an arithmetic number, because the mean of its divisors is an integer number (126256036032).

Almost surely, 2^{65998477376832} 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 65998477376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127266084320256).

65998477376832 is an abundant number, since it is smaller than the sum of its proper divisors (188533691263680).

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

65998477376832 is a wasteful number, since it uses less digits than its factorization.

65998477376832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2861 counting only the distinct ones).

The product of its digits is 23044331520, while the sum is 84.

The spelling of 65998477376832 in words is "sixty-five trillion, nine hundred ninety-eight billion, four hundred seventy-seven million, three hundred seventy-six thousand, eight hundred thirty-two".