200468361628800 has 2304 divisors, whose sum is σ = 811084663509120. Its totient is φ = 48693038284800.

The previous prime is 200468361628789. The next prime is 200468361628837. The reversal of 200468361628800 is 8826163864002.

200468361628800 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 6 + 8 + 3 + 6 + 1 + 628 + 8 + 0 + 0 = 666.

200468361628800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64232091240 + ... + 64232094360.

Almost surely, 2^{200468361628800} is an apocalyptic number.

200468361628800 is a gapful number since it is divisible by the number (20) 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 200468361628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405542331754560).

200468361628800 is an abundant number, since it is smaller than the sum of its proper divisors (610616301880320).

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

200468361628800 is a wasteful number, since it uses less digits than its factorization.

200468361628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 200468361628800 in words is "two hundred trillion, four hundred sixty-eight billion, three hundred sixty-one million, six hundred twenty-eight thousand, eight hundred".