65984717568 has 288 divisors, whose sum is σ = 230476861440. Its totient is φ = 16236564480.

The previous prime is 65984717479. The next prime is 65984717599. The reversal of 65984717568 is 86571748956.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 65984717499 and 65984717508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094221 + ... + 1152947.

It is an arithmetic number, because the mean of its divisors is an integer number (800266880).

Almost surely, 2^65984717568 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 65984717568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115238430720).

65984717568 is an abundant number, since it is smaller than the sum of its proper divisors (164492143872).

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

65984717568 is a wasteful number, since it uses less digits than its factorization.

65984717568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58783 (or 58769 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 66.

The spelling of 65984717568 in words is "sixty-five billion, nine hundred eighty-four million, seven hundred seventeen thousand, five hundred sixty-eight".