326772856800 has 1080 divisors, whose sum is σ = 1317078217224. Its totient is φ = 78778552320.

The previous prime is 326772856789. The next prime is 326772856843. The reversal of 326772856800 is 8658277623.

326772856800 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 72 + 8 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 580413319 + ... + 580413881.

Almost surely, 2^326772856800 is an apocalyptic number.

326772856800 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 326772856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658539108612).

326772856800 is an abundant number, since it is smaller than the sum of its proper divisors (990305360424).

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

326772856800 is a wasteful number, since it uses less digits than its factorization.

326772856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 326772856800 in words is "three hundred twenty-six billion, seven hundred seventy-two million, eight hundred fifty-six thousand, eight hundred".