326008378463040 has 2016 divisors, whose sum is σ = 1495439468490240. Its totient is φ = 65792681754624.

The previous prime is 326008378463023. The next prime is 326008378463041. The reversal of 326008378463040 is 40364873800623.

326008378463040 is a `hidden beast` number, since 3 + 2 + 60 + 0 + 83 + 7 + 8 + 463 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326008378463041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4394258266 + ... + 4394332454.

It is an arithmetic number, because the mean of its divisors is an integer number (741785450640).

Almost surely, 2^{326008378463040} is an apocalyptic number.

326008378463040 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 326008378463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747719734245120).

326008378463040 is an abundant number, since it is smaller than the sum of its proper divisors (1169431090027200).

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

326008378463040 is an equidigital number, since it uses as much as digits as its factorization.

326008378463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74273 (or 74242 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 326008378463040 in words is "three hundred twenty-six trillion, eight billion, three hundred seventy-eight million, four hundred sixty-three thousand, forty".