6803435664 has 60 divisors (see below), whose sum is σ = 19236500556. Its totient is φ = 2244427776.

The previous prime is 6803435599. The next prime is 6803435687. The reversal of 6803435664 is 4665343086.

6803435664 is a `hidden beast` number, since 6 + 80 + 3 + 4 + 3 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2151104400 + 4652331264 = 46380^2 + 68208^2 .

It is a super-3 number, since 3×6803435664³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229569 + ... + 257504.

Almost surely, 2^6803435664 is an apocalyptic number.

It is an amenable number.

6803435664 is an abundant number, since it is smaller than the sum of its proper divisors (12433064892).

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

6803435664 is a wasteful number, since it uses less digits than its factorization.

6803435664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487184 (or 487175 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 6803435664 is about 82482.9416546234. The cubic root of 6803435664 is about 1894.8554888257.

The spelling of 6803435664 in words is "six billion, eight hundred three million, four hundred thirty-five thousand, six hundred sixty-four".