65644934688 has 288 divisors, whose sum is σ = 198552135600. Its totient is φ = 20543569920.

The previous prime is 65644934617. The next prime is 65644934701. The reversal of 65644934688 is 88643944656.

65644934688 is a `hidden beast` number, since 6 + 5 + 64 + 493 + 4 + 6 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22352642064 + 43292292624 = 149508^2 + 208068^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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, 42378138 + ... + 42379686.

Almost surely, 2^65644934688 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 65644934688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99276067800).

65644934688 is an abundant number, since it is smaller than the sum of its proper divisors (132907200912).

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

65644934688 is a wasteful number, since it uses less digits than its factorization.

65644934688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1729 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 65644934688 in words is "sixty-five billion, six hundred forty-four million, nine hundred thirty-four thousand, six hundred eighty-eight".