65982964320 has 1152 divisors, whose sum is σ = 294468894720. Its totient is φ = 13078609920.

The previous prime is 65982964319. The next prime is 65982964391. The reversal of 65982964320 is 2346928956.

It is a happy number.

65982964320 is a `hidden beast` number, since 6 + 598 + 2 + 9 + 6 + 43 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150302661 + ... + 150303099.

It is an arithmetic number, because the mean of its divisors is an integer number (255615360).

Almost surely, 2^65982964320 is an apocalyptic number.

65982964320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65982964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147234447360).

65982964320 is an abundant number, since it is smaller than the sum of its proper divisors (228485930400).

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

65982964320 is a wasteful number, since it uses less digits than its factorization.

65982964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 65982964320 in words is "sixty-five billion, nine hundred eighty-two million, nine hundred sixty-four thousand, three hundred twenty".