65778020064 has 288 divisors, whose sum is σ = 203054342400. Its totient is φ = 20132997120.

The previous prime is 65778020051. The next prime is 65778020069. The reversal of 65778020064 is 46002087756.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65778020069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23566509 + ... + 23569299.

It is an arithmetic number, because the mean of its divisors is an integer number (705049800).

Almost surely, 2^65778020064 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 65778020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101527171200).

65778020064 is an abundant number, since it is smaller than the sum of its proper divisors (137276322336).

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

65778020064 is a wasteful number, since it uses less digits than its factorization.

65778020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 65778020064 in words is "sixty-five billion, seven hundred seventy-eight million, twenty thousand, sixty-four".