326587326519168 has 2304 divisors, whose sum is σ = 1163397664316160. Its totient is φ = 87284736000000.

The previous prime is 326587326519163. The next prime is 326587326519227. The reversal of 326587326519168 is 861915623785623.

326587326519168 is a `hidden beast` number, since 3 + 2 + 6 + 5 + 8 + 73 + 26 + 519 + 16 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 326587326519096 and 326587326519105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326587326519163) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1301144727043 + ... + 1301144727293.

It is an arithmetic number, because the mean of its divisors is an integer number (504946902915).

Almost surely, 2^{326587326519168} 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 326587326519168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581698832158080).

326587326519168 is an abundant number, since it is smaller than the sum of its proper divisors (836810337796992).

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

326587326519168 is a wasteful number, since it uses less digits than its factorization.

326587326519168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 615 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 326587326519168 in words is "three hundred twenty-six trillion, five hundred eighty-seven billion, three hundred twenty-six million, five hundred nineteen thousand, one hundred sixty-eight".