65984083968 has 576 divisors, whose sum is σ = 214577475840. Its totient is φ = 17921474560.

The previous prime is 65984083967. The next prime is 65984083987. The reversal of 65984083968 is 86938048956.

It is a super-3 number, since 3×65984083968³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 65984083899 and 65984083908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65984083967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290678671 + ... + 290678897.

It is an arithmetic number, because the mean of its divisors is an integer number (372530340).

Almost surely, 2^65984083968 is an apocalyptic number.

65984083968 is a gapful number since it is divisible by the number (68) 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 65984083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107288737920).

65984083968 is an abundant number, since it is smaller than the sum of its proper divisors (148593391872).

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

65984083968 is a wasteful number, since it uses less digits than its factorization.

65984083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 65984083968 in words is "sixty-five billion, nine hundred eighty-four million, eighty-three thousand, nine hundred sixty-eight".