206048240640 has 1320 divisors, whose sum is σ = 850014228096. Its totient is φ = 47311257600.

The previous prime is 206048240561. The next prime is 206048240677. The reversal of 206048240640 is 46042840602.

It is a happy number.

206048240640 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 4 + 8 + 2 + 4 + 0 + 640 = 666.

206048240640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206048240595 and 206048240604.

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 119 ways as a sum of consecutive naturals, for example, 4384005097 + ... + 4384005143.

Almost surely, 2^206048240640 is an apocalyptic number.

206048240640 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 206048240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425007114048).

206048240640 is an abundant number, since it is smaller than the sum of its proper divisors (643965987456).

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

206048240640 is a wasteful number, since it uses less digits than its factorization.

206048240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 206048240640 in words is "two hundred six billion, forty-eight million, two hundred forty thousand, six hundred forty".