206426046600 has 72 divisors (see below), whose sum is σ = 693247479210. Its totient is φ = 55046945280.

The previous prime is 206426046587. The next prime is 206426046613. The reversal of 206426046600 is 6640624602.

206426046600 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 2 + 6 + 0 + 46 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (206426046587) and next prime (206426046613).

It can be written as a sum of positive squares in 3 ways, for example, as 121475949156 + 84950097444 = 348534^2 + 291462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×206426046600² (a number of 23 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 57338769 + ... + 57342368.

Almost surely, 2^206426046600 is an apocalyptic number.

206426046600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206426046600 is an abundant number, since it is smaller than the sum of its proper divisors (486821432610).

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

206426046600 is a wasteful number, since it uses less digits than its factorization.

206426046600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114681159 (or 114681147 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 206426046600 in words is "two hundred six billion, four hundred twenty-six million, forty-six thousand, six hundred".