206713281600 has 1512 divisors, whose sum is σ = 953612580960. Its totient is φ = 42082467840.

The previous prime is 206713281503. The next prime is 206713281611. The reversal of 206713281600 is 6182317602.

206713281600 is a `hidden beast` number, since 20 + 6 + 7 + 1 + 3 + 28 + 1 + 600 = 666.

206713281600 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 227908347 + ... + 227909253.

Almost surely, 2^206713281600 is an apocalyptic number.

206713281600 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 206713281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476806290480).

206713281600 is an abundant number, since it is smaller than the sum of its proper divisors (746899299360).

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

206713281600 is a wasteful number, since it uses less digits than its factorization.

206713281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 206713281600 in words is "two hundred six billion, seven hundred thirteen million, two hundred eighty-one thousand, six hundred".