646568808164352 has 880 divisors, whose sum is σ = 2073261814224480. Its totient is φ = 200099148595200.

The previous prime is 646568808164231. The next prime is 646568808164353. The reversal of 646568808164352 is 253461808865646.

646568808164352 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 68 + 80 + 81 + 64 + 352 = 666.

It is a super-3 number, since 3×646568808164352³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (646568808164353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26628578452 + ... + 26628602732.

It is an arithmetic number, because the mean of its divisors is an integer number (2355979334346).

Almost surely, 2^{646568808164352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646568808164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036630907112240).

646568808164352 is an abundant number, since it is smaller than the sum of its proper divisors (1426693006060128).

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

646568808164352 is a wasteful number, since it uses less digits than its factorization.

646568808164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24670 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 1592524800, while the sum is 72.

The spelling of 646568808164352 in words is "six hundred forty-six trillion, five hundred sixty-eight billion, eight hundred eight million, one hundred sixty-four thousand, three hundred fifty-two".