65960180064 has 288 divisors, whose sum is σ = 210528551520. Its totient is φ = 20021575680.

The previous prime is 65960180059. The next prime is 65960180141. The reversal of 65960180064 is 46008106956.

65960180064 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, 14112832 + ... + 14117504.

It is an arithmetic number, because the mean of its divisors is an integer number (731001915).

Almost surely, 2^65960180064 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 65960180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105264275760).

65960180064 is an abundant number, since it is smaller than the sum of its proper divisors (144568371456).

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

65960180064 is a wasteful number, since it uses less digits than its factorization.

65960180064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65960180064 in words is "sixty-five billion, nine hundred sixty million, one hundred eighty thousand, sixty-four".