206739978130944 has 2240 divisors, whose sum is σ = 702092895768000. Its totient is φ = 60498424627200.

The previous prime is 206739978130943. The next prime is 206739978130949. The reversal of 206739978130944 is 449031879937602.

It is a happy number.

206739978130944 is a `hidden beast` number, since 2 + 0 + 67 + 399 + 7 + 8 + 130 + 9 + 44 = 666.

It is a super-2 number, since 2×206739978130944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206739978130943) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 768550104442 + ... + 768550104710.

Almost surely, 2^{206739978130944} is an apocalyptic number.

206739978130944 is a gapful number since it is divisible by the number (24) 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 206739978130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351046447884000).

206739978130944 is an abundant number, since it is smaller than the sum of its proper divisors (495352917637056).

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

206739978130944 is a wasteful number, since it uses less digits than its factorization.

206739978130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 206739978130944 in words is "two hundred six trillion, seven hundred thirty-nine billion, nine hundred seventy-eight million, one hundred thirty thousand, nine hundred forty-four".