206408321280 has 1296 divisors, whose sum is σ = 893131686720. Its totient is φ = 45454639104.

The previous prime is 206408321261. The next prime is 206408321311. The reversal of 206408321280 is 82123804602.

206408321280 is a `hidden beast` number, since 2 + 0 + 640 + 8 + 3 + 2 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441987607 + ... + 441988073.

It is an arithmetic number, because the mean of its divisors is an integer number (689144820).

Almost surely, 2^206408321280 is an apocalyptic number.

206408321280 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 206408321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446565843360).

206408321280 is an abundant number, since it is smaller than the sum of its proper divisors (686723365440).

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

206408321280 is an equidigital number, since it uses as much as digits as its factorization.

206408321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 206408321280 in words is "two hundred six billion, four hundred eight million, three hundred twenty-one thousand, two hundred eighty".