206398772352 has 640 divisors, whose sum is σ = 672155193600. Its totient is φ = 62884823040.

The previous prime is 206398772309. The next prime is 206398772357. The reversal of 206398772352 is 253277893602.

206398772352 is a `hidden beast` number, since 206 + 3 + 9 + 87 + 7 + 2 + 352 = 666.

It is a super-2 number, since 2×206398772352² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (206398772357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2612642649 + ... + 2612642727.

It is an arithmetic number, because the mean of its divisors is an integer number (1050242490).

Almost surely, 2^206398772352 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 206398772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336077596800).

206398772352 is an abundant number, since it is smaller than the sum of its proper divisors (465756421248).

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

206398772352 is an frugal number, since it uses more digits than its factorization.

206398772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 206398772352 in words is "two hundred six billion, three hundred ninety-eight million, seven hundred seventy-two thousand, three hundred fifty-two".