805640028336 has 320 divisors, whose sum is σ = 2720340887040. Its totient is φ = 225057346560.

The previous prime is 805640028293. The next prime is 805640028367. The reversal of 805640028336 is 633820046508.

It is a happy number.

805640028336 is a `hidden beast` number, since 8 + 0 + 564 + 0 + 0 + 2 + 83 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 805640028291 and 805640028300.

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 63 ways as a sum of consecutive naturals, for example, 49227291 + ... + 49243653.

It is an arithmetic number, because the mean of its divisors is an integer number (8501065272).

Almost surely, 2^805640028336 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 805640028336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360170443520).

805640028336 is an abundant number, since it is smaller than the sum of its proper divisors (1914700858704).

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

805640028336 is a wasteful number, since it uses less digits than its factorization.

805640028336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201 (or 17189 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 805640028336 in words is "eight hundred five billion, six hundred forty million, twenty-eight thousand, three hundred thirty-six".