206070939648 has 544 divisors, whose sum is σ = 708664197120. Its totient is φ = 57967902720.

The previous prime is 206070939629. The next prime is 206070939649. The reversal of 206070939648 is 846939070602.

It is a happy number.

206070939648 is a `hidden beast` number, since 20 + 607 + 0 + 9 + 3 + 9 + 6 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 206070939594 and 206070939603.

It is not an unprimeable number, because it can be changed into a prime (206070939649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573060543 + ... + 1573060673.

Almost surely, 2^206070939648 is an apocalyptic number.

206070939648 is a gapful number since it is divisible by the number (28) 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 206070939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354332098560).

206070939648 is an abundant number, since it is smaller than the sum of its proper divisors (502593257472).

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

206070939648 is an equidigital number, since it uses as much as digits as its factorization.

206070939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 206070939648 in words is "two hundred six billion, seventy million, nine hundred thirty-nine thousand, six hundred forty-eight".