65864777344 has 128 divisors (see below), whose sum is σ = 140161855680. Its totient is φ = 30784266240.

The previous prime is 65864777317. The next prime is 65864777353. The reversal of 65864777344 is 44377746856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11957439 + ... + 11962945.

Almost surely, 2^65864777344 is an apocalyptic number.

65864777344 is a gapful number since it is divisible by the number (64) 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 65864777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70080927840).

65864777344 is an abundant number, since it is smaller than the sum of its proper divisors (74297078336).

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

65864777344 is a wasteful number, since it uses less digits than its factorization.

65864777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5646 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 61.

The spelling of 65864777344 in words is "sixty-five billion, eight hundred sixty-four million, seven hundred seventy-seven thousand, three hundred forty-four".