326813875200 has 1320 divisors, whose sum is σ = 1309118925312. Its totient is φ = 80263249920.

The previous prime is 326813875147. The next prime is 326813875261. The reversal of 326813875200 is 2578318623.

326813875200 is a `hidden beast` number, since 3 + 2 + 68 + 1 + 387 + 5 + 200 = 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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2573337537 + ... + 2573337663.

Almost surely, 2^326813875200 is an apocalyptic number.

326813875200 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 326813875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654559462656).

326813875200 is an abundant number, since it is smaller than the sum of its proper divisors (982305050112).

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

326813875200 is a wasteful number, since it uses less digits than its factorization.

326813875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 326813875200 in words is "three hundred twenty-six billion, eight hundred thirteen million, eight hundred seventy-five thousand, two hundred".