65322564338304 has 5120 divisors, whose sum is σ = 276443106508800. Its totient is φ = 14834368512000.

The previous prime is 65322564338293. The next prime is 65322564338321. The reversal of 65322564338304 is 40383346522356.

It is a happy number.

65322564338304 is a `hidden beast` number, since 6 + 5 + 3 + 2 + 256 + 4 + 3 + 383 + 0 + 4 = 666.

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

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 639 ways as a sum of consecutive naturals, for example, 1070861710434 + ... + 1070861710494.

It is an arithmetic number, because the mean of its divisors is an integer number (53992794240).

Almost surely, 2^{65322564338304} is an apocalyptic number.

65322564338304 is a gapful number since it is divisible by the number (64) 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 65322564338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138221553254400).

65322564338304 is an abundant number, since it is smaller than the sum of its proper divisors (211120542170496).

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

65322564338304 is a wasteful number, since it uses less digits than its factorization.

65322564338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 65322564338304 in words is "sixty-five trillion, three hundred twenty-two billion, five hundred sixty-four million, three hundred thirty-eight thousand, three hundred four".