206314264728 has 1152 divisors, whose sum is σ = 746629228800. Its totient is φ = 52840719360.

The previous prime is 206314264643. The next prime is 206314264769. The reversal of 206314264728 is 827462413602.

It is a happy number.

206314264728 is a `hidden beast` number, since 2 + 0 + 6 + 314 + 264 + 72 + 8 = 666.

It is a congruent number.

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, 3079317351 + ... + 3079317417.

It is an arithmetic number, because the mean of its divisors is an integer number (648115650).

Almost surely, 2^206314264728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206314264728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373314614400).

206314264728 is an abundant number, since it is smaller than the sum of its proper divisors (540314964072).

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

206314264728 is a wasteful number, since it uses less digits than its factorization.

206314264728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 206314264728 in words is "two hundred six billion, three hundred fourteen million, two hundred sixty-four thousand, seven hundred twenty-eight".