326563303407000 has 256 divisors, whose sum is σ = 1113449388480000. Its totient is φ = 79028210880000.

The previous prime is 326563303406999. The next prime is 326563303407017. The reversal of 326563303407000 is 704303365623.

It is a super-2 number, since 2×326563303407000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10177626 + ... + 27508374.

It is an arithmetic number, because the mean of its divisors is an integer number (4349411673750).

Almost surely, 2^{326563303407000} is an apocalyptic number.

326563303407000 is a gapful number since it is divisible by the number (30) 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 326563303407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556724694240000).

326563303407000 is an abundant number, since it is smaller than the sum of its proper divisors (786886085073000).

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

326563303407000 is a wasteful number, since it uses less digits than its factorization.

326563303407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17331355 (or 17331341 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 42.

The spelling of 326563303407000 in words is "three hundred twenty-six trillion, five hundred sixty-three billion, three hundred three million, four hundred seven thousand".