809206949376 has 240 divisors, whose sum is σ = 2672161899264. Its totient is φ = 230933164032.

The previous prime is 809206949281. The next prime is 809206949381. The reversal of 809206949376 is 673949602908.

809206949376 is a `hidden beast` number, since 80 + 9 + 2 + 0 + 69 + 493 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28596931 + ... + 28625213.

Almost surely, 2^809206949376 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 809206949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336080949632).

809206949376 is an abundant number, since it is smaller than the sum of its proper divisors (1862954949888).

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

809206949376 is a wasteful number, since it uses less digits than its factorization.

809206949376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29182 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 809206949376 in words is "eight hundred nine billion, two hundred six million, nine hundred forty-nine thousand, three hundred seventy-six".