213643468800 has 504 divisors, whose sum is σ = 790169128320. Its totient is φ = 55119052800.

The previous prime is 213643468783. The next prime is 213643468813. The reversal of 213643468800 is 8864346312.

213643468800 is a `hidden beast` number, since 2 + 136 + 434 + 6 + 8 + 80 + 0 = 666.

213643468800 is digitally balanced in base 3, 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57137331 + ... + 57141069.

Almost surely, 2^213643468800 is an apocalyptic number.

213643468800 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 213643468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395084564160).

213643468800 is an abundant number, since it is smaller than the sum of its proper divisors (576525659520).

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

213643468800 is a wasteful number, since it uses less digits than its factorization.

213643468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 213643468800 in words is "two hundred thirteen billion, six hundred forty-three million, four hundred sixty-eight thousand, eight hundred".