65664207360000 has 1040 divisors, whose sum is σ = 243901100414400. Its totient is φ = 17452302336000.

The previous prime is 65664207359951. The next prime is 65664207360107. The reversal of 65664207360000 is 6370246656.

65664207360000 is a `hidden beast` number, since 6 + 566 + 4 + 20 + 7 + 3 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23293438591 + ... + 23293441409.

It is an arithmetic number, because the mean of its divisors is an integer number (234520288860).

Almost surely, 2^{65664207360000} is an apocalyptic number.

65664207360000 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 65664207360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121950550207200).

65664207360000 is an abundant number, since it is smaller than the sum of its proper divisors (178236893054400).

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

65664207360000 is an equidigital number, since it uses as much as digits as its factorization.

65664207360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 65664207360000 in words is "sixty-five trillion, six hundred sixty-four billion, two hundred seven million, three hundred sixty thousand".