206474645800 has 96 divisors (see below), whose sum is σ = 508620627000. Its totient is φ = 77681377280.

The previous prime is 206474645779. The next prime is 206474645801. The reversal of 206474645800 is 8546474602.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 96148366084 + 110326279716 = 310078^2 + 332154^2 .

It is a super-4 number, since 4×206474645800⁴ (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (206474645801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5465376 + ... + 5503024.

Almost surely, 2^206474645800 is an apocalyptic number.

206474645800 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 206474645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254310313500).

206474645800 is an abundant number, since it is smaller than the sum of its proper divisors (302145981200).

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

206474645800 is a wasteful number, since it uses less digits than its factorization.

206474645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39295 (or 39286 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 206474645800 in words is "two hundred six billion, four hundred seventy-four million, six hundred forty-five thousand, eight hundred".