803440433664 has 1440 divisors, whose sum is σ = 2868968374272. Its totient is φ = 215444275200.

The previous prime is 803440433659. The next prime is 803440433743. The reversal of 803440433664 is 466334044308.

803440433664 is a `hidden beast` number, since 80 + 3 + 440 + 43 + 36 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17094477289 + ... + 17094477335.

Almost surely, 2^803440433664 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 803440433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434484187136).

803440433664 is an abundant number, since it is smaller than the sum of its proper divisors (2065527940608).

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

803440433664 is a wasteful number, since it uses less digits than its factorization.

803440433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 803440433664 in words is "eight hundred three billion, four hundred forty million, four hundred thirty-three thousand, six hundred sixty-four".