206507263680 has 168 divisors, whose sum is σ = 710476071552. Its totient is φ = 55054872576.

The previous prime is 206507263609. The next prime is 206507263681. The reversal of 206507263680 is 86362705602.

It is a happy number.

206507263680 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 0 + 7 + 2 + 636 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (206507263681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17484337 + ... + 17496143.

Almost surely, 2^206507263680 is an apocalyptic number.

206507263680 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 206507263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355238035776).

206507263680 is an abundant number, since it is smaller than the sum of its proper divisors (503968807872).

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

206507263680 is a wasteful number, since it uses less digits than its factorization.

206507263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17903 (or 17890 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 206507263680 in words is "two hundred six billion, five hundred seven million, two hundred sixty-three thousand, six hundred eighty".