206842190976 has 640 divisors, whose sum is σ = 677575800000. Its totient is φ = 62642958336.

The previous prime is 206842190953. The next prime is 206842190977. The reversal of 206842190976 is 679091248602.

206842190976 is a `hidden beast` number, since 2 + 0 + 68 + 421 + 90 + 9 + 76 = 666.

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 (206842190977) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1388202550 + ... + 1388202698.

Almost surely, 2^206842190976 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 206842190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338787900000).

206842190976 is an abundant number, since it is smaller than the sum of its proper divisors (470733609024).

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

206842190976 is an frugal number, since it uses more digits than its factorization.

206842190976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 206842190976 in words is "two hundred six billion, eight hundred forty-two million, one hundred ninety thousand, nine hundred seventy-six".