806473443840 has 320 divisors, whose sum is σ = 2600646048000. Its totient is φ = 213195423744.

The previous prime is 806473443761. The next prime is 806473443913. The reversal of 806473443840 is 48344374608.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517300981 + ... + 517302539.

It is an arithmetic number, because the mean of its divisors is an integer number (8127018900).

Almost surely, 2^806473443840 is an apocalyptic number.

806473443840 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 806473443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300323024000).

806473443840 is an abundant number, since it is smaller than the sum of its proper divisors (1794172604160).

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

806473443840 is a wasteful number, since it uses less digits than its factorization.

806473443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 806473443840 in words is "eight hundred six billion, four hundred seventy-three million, four hundred forty-three thousand, eight hundred forty".