806049451918080 has 864 divisors, whose sum is σ = 3013273719263808. Its totient is φ = 198192660480000.

The previous prime is 806049451917949. The next prime is 806049451918093. The reversal of 806049451918080 is 80819154940608.

806049451918080 is a `hidden beast` number, since 8 + 0 + 6 + 0 + 494 + 51 + 9 + 18 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 806049451917999 and 806049451918017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2998371832 + ... + 2998640648.

It is an arithmetic number, because the mean of its divisors is an integer number (3487585323222).

Almost surely, 2^{806049451918080} is an apocalyptic number.

806049451918080 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 806049451918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506636859631904).

806049451918080 is an abundant number, since it is smaller than the sum of its proper divisors (2207224267345728).

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

806049451918080 is a wasteful number, since it uses less digits than its factorization.

806049451918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269173 (or 269156 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 806049451918080 in words is "eight hundred six trillion, forty-nine billion, four hundred fifty-one million, nine hundred eighteen thousand, eighty".