206967708960 has 192 divisors, whose sum is σ = 655266205440. Its totient is φ = 54911324160.

The previous prime is 206967708907. The next prime is 206967708967. The reversal of 206967708960 is 69807769602.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 206967708894 and 206967708903.

It is not an unprimeable number, because it can be changed into a prime (206967708967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88711954 + ... + 88714286.

It is an arithmetic number, because the mean of its divisors is an integer number (3412844820).

Almost surely, 2^206967708960 is an apocalyptic number.

206967708960 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 206967708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327633102720).

206967708960 is an abundant number, since it is smaller than the sum of its proper divisors (448298496480).

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

206967708960 is a wasteful number, since it uses less digits than its factorization.

206967708960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 206967708960 in words is "two hundred six billion, nine hundred sixty-seven million, seven hundred eight thousand, nine hundred sixty".