65323638535680 has 4480 divisors, whose sum is σ = 297550205568000. Its totient is φ = 13694917017600.

The previous prime is 65323638535637. The next prime is 65323638535697. The reversal of 65323638535680 is 8653583632356.

65323638535680 is a `hidden beast` number, since 6 + 5 + 3 + 2 + 3 + 6 + 38 + 535 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 498653729215 + ... + 498653729345.

It is an arithmetic number, because the mean of its divisors is an integer number (66417456600).

Almost surely, 2^{65323638535680} is an apocalyptic number.

65323638535680 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 65323638535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148775102784000).

65323638535680 is an abundant number, since it is smaller than the sum of its proper divisors (232226567032320).

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

65323638535680 is an equidigital number, since it uses as much as digits as its factorization.

65323638535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 65323638535680 in words is "sixty-five trillion, three hundred twenty-three billion, six hundred thirty-eight million, five hundred thirty-five thousand, six hundred eighty".