65036107516464 has 480 divisors, whose sum is σ = 224478503884800. Its totient is φ = 17956842462720.

The previous prime is 65036107516447. The next prime is 65036107516493. The reversal of 65036107516464 is 46461570163056.

65036107516464 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 61 + 0 + 7 + 516 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65036107516464.

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 95 ways as a sum of consecutive naturals, for example, 465181579 + ... + 465321365.

It is an arithmetic number, because the mean of its divisors is an integer number (467663549760).

Almost surely, 2^{65036107516464} 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 65036107516464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112239251942400).

65036107516464 is an abundant number, since it is smaller than the sum of its proper divisors (159442396368336).

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

65036107516464 is a wasteful number, since it uses less digits than its factorization.

65036107516464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140558 (or 140539 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 65036107516464 in words is "sixty-five trillion, thirty-six billion, one hundred seven million, five hundred sixteen thousand, four hundred sixty-four".