65941678656 has 210 divisors, whose sum is σ = 220503072582. Its totient is φ = 18840084480.

The previous prime is 65941678651. The next prime is 65941678679. The reversal of 65941678656 is 65687614956.

It can be written as a sum of positive squares in only one way, i.e., 47332353600 + 18609325056 = 217560^2 + 136416^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 65941678593 and 65941678602.

It is not an unprimeable number, because it can be changed into a prime (65941678651) 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 29 ways as a sum of consecutive naturals, for example, 1359136 + ... + 1406816.

Almost surely, 2^65941678656 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 65941678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110251536291).

65941678656 is an abundant number, since it is smaller than the sum of its proper divisors (154561393926).

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

65941678656 is an equidigital number, since it uses as much as digits as its factorization.

65941678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47727 (or 47693 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 65941678656 in words is "sixty-five billion, nine hundred forty-one million, six hundred seventy-eight thousand, six hundred fifty-six".