806036905872000 has 6912 divisors, whose sum is σ = 3598813832140800. Its totient is φ = 178845511680000.

The previous prime is 806036905871893. The next prime is 806036905872139. The reversal of 806036905872000 is 278509630608.

It is a happy number.

806036905872000 is a `hidden beast` number, since 8 + 0 + 6 + 0 + 36 + 9 + 0 + 587 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 9056594447956 + ... + 9056594448044.

It is an arithmetic number, because the mean of its divisors is an integer number (520661723400).

Almost surely, 2^{806036905872000} is an apocalyptic number.

806036905872000 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 806036905872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799406916070400).

806036905872000 is an abundant number, since it is smaller than the sum of its proper divisors (2792776926268800).

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

806036905872000 is an equidigital number, since it uses as much as digits as its factorization.

806036905872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 806036905872000 in words is "eight hundred six trillion, thirty-six billion, nine hundred five million, eight hundred seventy-two thousand".