206470272000 has 352 divisors, whose sum is σ = 696562723584. Its totient is φ = 54276096000.

The previous prime is 206470271993. The next prime is 206470272007. The reversal of 206470272000 is 272074602.

It is an interprime number because it is at equal distance from previous prime (206470271993) and next prime (206470272007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206470272007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27260214 + ... + 27267786.

Almost surely, 2^206470272000 is an apocalyptic number.

206470272000 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 206470272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348281361792).

206470272000 is an abundant number, since it is smaller than the sum of its proper divisors (490092451584).

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

206470272000 is an equidigital number, since it uses as much as digits as its factorization.

206470272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 206470272000 in words is "two hundred six billion, four hundred seventy million, two hundred seventy-two thousand".