206739610943040 has 2240 divisors, whose sum is σ = 882676105445376. Its totient is φ = 44939059200000.

The previous prime is 206739610943023. The next prime is 206739610943101. The reversal of 206739610943040 is 40349016937602.

It is a happy number.

206739610943040 is a `hidden beast` number, since 2 + 0 + 6 + 73 + 96 + 10 + 9 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 160139124795 + ... + 160139126085.

Almost surely, 2^{206739610943040} is an apocalyptic number.

206739610943040 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 206739610943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441338052722688).

206739610943040 is an abundant number, since it is smaller than the sum of its proper divisors (675936494502336).

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

206739610943040 is a wasteful number, since it uses less digits than its factorization.

206739610943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 206739610943040 in words is "two hundred six trillion, seven hundred thirty-nine billion, six hundred ten million, nine hundred forty-three thousand, forty".