206066231504640 has 720 divisors, whose sum is σ = 794689781342688. Its totient is φ = 50683850883072.

The previous prime is 206066231504569. The next prime is 206066231504681. The reversal of 206066231504640 is 46405132660602.

It is a happy number.

206066231504640 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 6 + 623 + 15 + 0 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1721131819 + ... + 1721251541.

Almost surely, 2^{206066231504640} is an apocalyptic number.

206066231504640 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 206066231504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397344890671344).

206066231504640 is an abundant number, since it is smaller than the sum of its proper divisors (588623549838048).

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

206066231504640 is a wasteful number, since it uses less digits than its factorization.

206066231504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121046 (or 121023 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 206066231504640 in words is "two hundred six trillion, sixty-six billion, two hundred thirty-one million, five hundred four thousand, six hundred forty".