206426400800 has 36 divisors (see below), whose sum is σ = 503938452906. Its totient is φ = 82570560000.

The previous prime is 206426400767. The next prime is 206426400823. The reversal of 206426400800 is 8004624602.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 174894585616 + 31531815184 = 418204^2 + 177572^2 .

It is a super-2 number, since 2×206426400800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129015701 + ... + 129017300.

Almost surely, 2^206426400800 is an apocalyptic number.

206426400800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206426400800 is an abundant number, since it is smaller than the sum of its proper divisors (297512052106).

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

206426400800 is a wasteful number, since it uses less digits than its factorization.

206426400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258033021 (or 258033008 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 206426400800 in words is "two hundred six billion, four hundred twenty-six million, four hundred thousand, eight hundred".