806669485440 has 1024 divisors, whose sum is σ = 3285999360000. Its totient is φ = 167208910848.

The previous prime is 806669485423. The next prime is 806669485477. The reversal of 806669485440 is 44584966608.

806669485440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505114722 + ... + 505116318.

It is an arithmetic number, because the mean of its divisors is an integer number (3208983750).

Almost surely, 2^806669485440 is an apocalyptic number.

806669485440 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 806669485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642999680000).

806669485440 is an abundant number, since it is smaller than the sum of its proper divisors (2479329874560).

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

806669485440 is a wasteful number, since it uses less digits than its factorization.

806669485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 806669485440 in words is "eight hundred six billion, six hundred sixty-nine million, four hundred eighty-five thousand, four hundred forty".