206753232672 has 768 divisors, whose sum is σ = 751887360000. Its totient is φ = 55086925824.

The previous prime is 206753232629. The next prime is 206753232683. The reversal of 206753232672 is 276232357602.

206753232672 is a `hidden beast` number, since 2 + 0 + 67 + 5 + 323 + 267 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411039973 + ... + 411040475.

It is an arithmetic number, because the mean of its divisors is an integer number (979020000).

Almost surely, 2^206753232672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206753232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375943680000).

206753232672 is an abundant number, since it is smaller than the sum of its proper divisors (545134127328).

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

206753232672 is a wasteful number, since it uses less digits than its factorization.

206753232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 206753232672 in words is "two hundred six billion, seven hundred fifty-three million, two hundred thirty-two thousand, six hundred seventy-two".