326319347508000 has 2304 divisors, whose sum is σ = 1370621532413952. Its totient is φ = 65922554880000.

The previous prime is 326319347507981. The next prime is 326319347508001. The reversal of 326319347508000 is 805743913623.

It is not an unprimeable number, because it can be changed into a prime (326319347508001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 409434563602 + ... + 409434564398.

It is an arithmetic number, because the mean of its divisors is an integer number (594887817888).

It is a 1-persistent number, because it is pandigital, but 2⋅326319347508000 = 652638695016000 is not.

Almost surely, 2^{326319347508000} is an apocalyptic number.

326319347508000 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 326319347508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685310766206976).

326319347508000 is an abundant number, since it is smaller than the sum of its proper divisors (1044302184905952).

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

326319347508000 is a wasteful number, since it uses less digits than its factorization.

326319347508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 326319347508000 in words is "three hundred twenty-six trillion, three hundred nineteen billion, three hundred forty-seven million, five hundred eight thousand".