65945572704 has 288 divisors, whose sum is σ = 216054034560. Its totient is φ = 18869760000.

The previous prime is 65945572691. The next prime is 65945572739. The reversal of 65945572704 is 40727554956.

It is a happy number.

65945572704 is a `hidden beast` number, since 6 + 59 + 455 + 72 + 70 + 4 = 666.

65945572704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20283079 + ... + 20286329.

It is an arithmetic number, because the mean of its divisors is an integer number (750187620).

Almost surely, 2^65945572704 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 65945572704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108027017280).

65945572704 is an abundant number, since it is smaller than the sum of its proper divisors (150108461856).

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

65945572704 is a wasteful number, since it uses less digits than its factorization.

65945572704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 65945572704 in words is "sixty-five billion, nine hundred forty-five million, five hundred seventy-two thousand, seven hundred four".