206001024768 has 1080 divisors, whose sum is σ = 794984415456. Its totient is φ = 51896401920.

The previous prime is 206001024767. The next prime is 206001024773. The reversal of 206001024768 is 867420100602.

206001024768 is a `hidden beast` number, since 2 + 0 + 600 + 1 + 0 + 2 + 47 + 6 + 8 = 666.

It is a super-2 number, since 2×206001024768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206001024767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 649845346 + ... + 649845662.

Almost surely, 2^206001024768 is an apocalyptic number.

206001024768 is a gapful number since it is divisible by the number (28) 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 206001024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397492207728).

206001024768 is an abundant number, since it is smaller than the sum of its proper divisors (588983390688).

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

206001024768 is a wasteful number, since it uses less digits than its factorization.

206001024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 206001024768 in words is "two hundred six billion, one million, twenty-four thousand, seven hundred sixty-eight".