806825815432 has 384 divisors, whose sum is σ = 1970933852160. Its totient is φ = 306770042880.

The previous prime is 806825815427. The next prime is 806825815469. The reversal of 806825815432 is 234518528608.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 806825815432.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3618052873 + ... + 3618053095.

It is an arithmetic number, because the mean of its divisors is an integer number (5132640240).

Almost surely, 2^806825815432 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 806825815432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985466926080).

806825815432 is an abundant number, since it is smaller than the sum of its proper divisors (1164108036728).

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

806825815432 is a wasteful number, since it uses less digits than its factorization.

806825815432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 806825815432 in words is "eight hundred six billion, eight hundred twenty-five million, eight hundred fifteen thousand, four hundred thirty-two".