65410325664000 has 576 divisors, whose sum is σ = 222642181052928. Its totient is φ = 17014493184000.

The previous prime is 65410325663999. The next prime is 65410325664001. The reversal of 65410325664000 is 46652301456.

65410325664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65410325663999) and next prime (65410325664001).

It is not an unprimeable number, because it can be changed into a prime (65410325664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880186845 + ... + 880261155.

It is an arithmetic number, because the mean of its divisors is an integer number (386531564328).

Almost surely, 2^{65410325664000} is an apocalyptic number.

65410325664000 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 65410325664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111321090526464).

65410325664000 is an abundant number, since it is smaller than the sum of its proper divisors (157231855388928).

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

65410325664000 is a wasteful number, since it uses less digits than its factorization.

65410325664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74571 (or 74547 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 65410325664000 its reverse (46652301456), we get a palindrome (65456977965456).

The spelling of 65410325664000 in words is "sixty-five trillion, four hundred ten billion, three hundred twenty-five million, six hundred sixty-four thousand".