806433999840 has 768 divisors, whose sum is σ = 3354462720000. Its totient is φ = 177038991360.

The previous prime is 806433999829. The next prime is 806433999841. The reversal of 806433999840 is 48999334608.

806433999840 is a `hidden beast` number, since 80 + 6 + 43 + 399 + 98 + 40 = 666.

It is a super-2 number, since 2×806433999840² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806433999841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174512730 + ... + 174517350.

It is an arithmetic number, because the mean of its divisors is an integer number (4367790000).

Almost surely, 2^806433999840 is an apocalyptic number.

806433999840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806433999840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677231360000).

806433999840 is an abundant number, since it is smaller than the sum of its proper divisors (2548028720160).

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

806433999840 is a wasteful number, since it uses less digits than its factorization.

806433999840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 806433999840 in words is "eight hundred six billion, four hundred thirty-three million, nine hundred ninety-nine thousand, eight hundred forty".