206970243840 has 432 divisors, whose sum is σ = 746285248800. Its totient is φ = 52893646848.

The previous prime is 206970243803. The next prime is 206970243863. The reversal of 206970243840 is 48342079602.

206970243840 is a `hidden beast` number, since 206 + 9 + 7 + 0 + 2 + 438 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46434892 + ... + 46439348.

It is an arithmetic number, because the mean of its divisors is an integer number (1727512150).

Almost surely, 2^206970243840 is an apocalyptic number.

206970243840 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 206970243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373142624400).

206970243840 is an abundant number, since it is smaller than the sum of its proper divisors (539315004960).

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

206970243840 is a wasteful number, since it uses less digits than its factorization.

206970243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 206970243840 in words is "two hundred six billion, nine hundred seventy million, two hundred forty-three thousand, eight hundred forty".