815787269904 has 320 divisors, whose sum is σ = 2276814274560. Its totient is φ = 251210004480.

The previous prime is 815787269903. The next prime is 815787269909. The reversal of 815787269904 is 409962787518.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (815787269903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763130682 + ... + 763131750.

It is an arithmetic number, because the mean of its divisors is an integer number (7115044608).

Almost surely, 2^815787269904 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 815787269904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138407137280).

815787269904 is an abundant number, since it is smaller than the sum of its proper divisors (1461027004656).

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

815787269904 is a wasteful number, since it uses less digits than its factorization.

815787269904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 815787269904 in words is "eight hundred fifteen billion, seven hundred eighty-seven million, two hundred sixty-nine thousand, nine hundred four".