326091801600 has 792 divisors, whose sum is σ = 1239259367840. Its totient is φ = 81696522240.

The previous prime is 326091801589. The next prime is 326091801631. The reversal of 326091801600 is 6108190623.

326091801600 is a `hidden beast` number, since 32 + 6 + 0 + 9 + 18 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 713548572 + ... + 713549028.

Almost surely, 2^326091801600 is an apocalyptic number.

326091801600 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 326091801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619629683920).

326091801600 is an abundant number, since it is smaller than the sum of its proper divisors (913167566240).

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

326091801600 is a wasteful number, since it uses less digits than its factorization.

326091801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 326091801600 in words is "three hundred twenty-six billion, ninety-one million, eight hundred one thousand, six hundred".