806408404608 has 128 divisors (see below), whose sum is σ = 2151637286400. Its totient is φ = 267598679040.

The previous prime is 806408404603. The next prime is 806408404651. The reversal of 806408404608 is 806404804608.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (806408404603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94434003 + ... + 94442541.

It is an arithmetic number, because the mean of its divisors is an integer number (16809666300).

Almost surely, 2^806408404608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806408404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075818643200).

806408404608 is an abundant number, since it is smaller than the sum of its proper divisors (1345228881792).

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

806408404608 is a wasteful number, since it uses less digits than its factorization.

806408404608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9630 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 806408404608 in words is "eight hundred six billion, four hundred eight million, four hundred four thousand, six hundred eight".