326845945800 has 384 divisors, whose sum is σ = 1292792256000. Its totient is φ = 75064838400.

The previous prime is 326845945729. The next prime is 326845945823. The reversal of 326845945800 is 8549548623.

326845945800 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 4 + 59 + 4 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983799 + ... + 1273401.

It is an arithmetic number, because the mean of its divisors is an integer number (3366646500).

Almost surely, 2^326845945800 is an apocalyptic number.

326845945800 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 326845945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646396128000).

326845945800 is an abundant number, since it is smaller than the sum of its proper divisors (965946310200).

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

326845945800 is a wasteful number, since it uses less digits than its factorization.

326845945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289658 (or 289643 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 326845945800 in words is "three hundred twenty-six billion, eight hundred forty-five million, nine hundred forty-five thousand, eight hundred".