806417894880000 has 6480 divisors, whose sum is σ = 3491256343550976. Its totient is φ = 185160867840000.

The previous prime is 806417894879959. The next prime is 806417894880007. The reversal of 806417894880000 is 88498714608.

806417894880000 is a `hidden beast` number, since 8 + 0 + 64 + 17 + 89 + 488 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a self number, because there is not a number n which added to its sum of digits gives 806417894880000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806417894880007) by changing a digit.

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 719 ways as a sum of consecutive naturals, for example, 7536615839947 + ... + 7536615840053.

Almost surely, 2^{806417894880000} is an apocalyptic number.

806417894880000 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 806417894880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745628171775488).

806417894880000 is an abundant number, since it is smaller than the sum of its proper divisors (2684838448670976).

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

806417894880000 is a wasteful number, since it uses less digits than its factorization.

806417894880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 806417894880000 in words is "eight hundred six trillion, four hundred seventeen billion, eight hundred ninety-four million, eight hundred eighty thousand".