326815441920 has 1584 divisors, whose sum is σ = 1383468847488. Its totient is φ = 70590136320.

The previous prime is 326815441877. The next prime is 326815441933. The reversal of 326815441920 is 29144518623.

326815441920 is a `hidden beast` number, since 3 + 2 + 6 + 81 + 544 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 3369231312 + ... + 3369231408.

Almost surely, 2^326815441920 is an apocalyptic number.

326815441920 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 326815441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691734423744).

326815441920 is an abundant number, since it is smaller than the sum of its proper divisors (1056653405568).

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

326815441920 is a wasteful number, since it uses less digits than its factorization.

326815441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 326815441920 in words is "three hundred twenty-six billion, eight hundred fifteen million, four hundred forty-one thousand, nine hundred twenty".