206970204672 has 1200 divisors, whose sum is σ = 804680604288. Its totient is φ = 52347617280.

The previous prime is 206970204641. The next prime is 206970204709. The reversal of 206970204672 is 276402079602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1050610078 + ... + 1050610274.

Almost surely, 2^206970204672 is an apocalyptic number.

206970204672 is a gapful number since it is divisible by the number (22) 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 206970204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402340302144).

206970204672 is an abundant number, since it is smaller than the sum of its proper divisors (597710399616).

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

206970204672 is a wasteful number, since it uses less digits than its factorization.

206970204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 206970204672 in words is "two hundred six billion, nine hundred seventy million, two hundred four thousand, six hundred seventy-two".