206201032704 has 312 divisors, whose sum is σ = 637914097080. Its totient is φ = 63946358784.

The previous prime is 206201032657. The next prime is 206201032757. The reversal of 206201032704 is 407230102602.

206201032704 is a `hidden beast` number, since 2 + 0 + 620 + 1 + 0 + 32 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3657830400 + 202543202304 = 60480^2 + 450048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55773384 + ... + 55777080.

It is an arithmetic number, because the mean of its divisors is an integer number (2044596465).

Almost surely, 2^206201032704 is an apocalyptic number.

206201032704 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 206201032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318957048540).

206201032704 is an abundant number, since it is smaller than the sum of its proper divisors (431713064376).

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

206201032704 is a wasteful number, since it uses less digits than its factorization.

206201032704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 206201032704 in words is "two hundred six billion, two hundred one million, thirty-two thousand, seven hundred four".