206480368800 has 108 divisors (see below), whose sum is σ = 728101425870. Its totient is φ = 55061429760.

The previous prime is 206480368769. The next prime is 206480368841. The reversal of 206480368800 is 8863084602.

It is a happy number.

206480368800 is a `hidden beast` number, since 206 + 4 + 8 + 0 + 368 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 76248881424 + 130231487376 = 276132^2 + 360876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14331715 + ... + 14346114.

Almost surely, 2^206480368800 is an apocalyptic number.

206480368800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206480368800 is an abundant number, since it is smaller than the sum of its proper divisors (521621057070).

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

206480368800 is a wasteful number, since it uses less digits than its factorization.

206480368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28677855 (or 28677839 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 206480368800 in words is "two hundred six billion, four hundred eighty million, three hundred sixty-eight thousand, eight hundred".