65607967264 has 192 divisors, whose sum is σ = 159877234944. Its totient is φ = 25864667136.

The previous prime is 65607967253. The next prime is 65607967279. The reversal of 65607967264 is 46276970656.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 65607967199 and 65607967208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34952694 + ... + 34954570.

It is an arithmetic number, because the mean of its divisors is an integer number (832693932).

Almost surely, 2^65607967264 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 65607967264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79938617472).

65607967264 is an abundant number, since it is smaller than the sum of its proper divisors (94269267680).

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

65607967264 is a wasteful number, since it uses less digits than its factorization.

65607967264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 65607967264 in words is "sixty-five billion, six hundred seven million, nine hundred sixty-seven thousand, two hundred sixty-four".