206730283968 has 560 divisors, whose sum is σ = 705659524416. Its totient is φ = 59341455360.

The previous prime is 206730283967. The next prime is 206730283973. The reversal of 206730283968 is 869382037602.

It is a happy number.

206730283968 is a `hidden beast` number, since 206 + 73 + 0 + 283 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206730283967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63549030 + ... + 63552282.

Almost surely, 2^206730283968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206730283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352829762208).

206730283968 is an abundant number, since it is smaller than the sum of its proper divisors (498929240448).

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

206730283968 is a wasteful number, since it uses less digits than its factorization.

206730283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 206730283968 in words is "two hundred six billion, seven hundred thirty million, two hundred eighty-three thousand, nine hundred sixty-eight".