806575625856 has 2560 divisors, whose sum is σ = 3503311257600. Its totient is φ = 177367449600.

The previous prime is 806575625837. The next prime is 806575625873. The reversal of 806575625856 is 658526575608.

806575625856 is a `hidden beast` number, since 8 + 0 + 6 + 575 + 6 + 2 + 5 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 806575625793 and 806575625802.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7399776330 + ... + 7399776438.

It is an arithmetic number, because the mean of its divisors is an integer number (1368480960).

Almost surely, 2^806575625856 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 806575625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751655628800).

806575625856 is an abundant number, since it is smaller than the sum of its proper divisors (2696735631744).

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

806575625856 is a wasteful number, since it uses less digits than its factorization.

806575625856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 806575625856 in words is "eight hundred six billion, five hundred seventy-five million, six hundred twenty-five thousand, eight hundred fifty-six".