609669966906 has 576 divisors, whose sum is σ = 1866385317888. Its totient is φ = 138749760000.

The previous prime is 609669966797. The next prime is 609669966907.

609669966906 is a `hidden beast` number, since 609 + 6 + 6 + 9 + 9 + 6 + 6 + 9 + 0 + 6 = 666.

609669966906 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609669966907) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5697850105 + ... + 5697850211.

It is an arithmetic number, because the mean of its divisors is an integer number (3240252288).

Almost surely, 2^609669966906 is an apocalyptic number.

609669966906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 609669966906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933192658944).

609669966906 is an abundant number, since it is smaller than the sum of its proper divisors (1256715350982).

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

609669966906 is a wasteful number, since it uses less digits than its factorization.

609669966906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 306110016, while the sum is 72.

The spelling of 609669966906 in words is "six hundred nine billion, six hundred sixty-nine million, nine hundred sixty-six thousand, nine hundred six".