815326923840 has 1344 divisors, whose sum is σ = 3264022245120. Its totient is φ = 170798284800.

The previous prime is 815326923787. The next prime is 815326923881. The reversal of 815326923840 is 48329623518.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4504568550 + ... + 4504568730.

It is an arithmetic number, because the mean of its divisors is an integer number (2428587980).

Almost surely, 2^815326923840 is an apocalyptic number.

815326923840 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 815326923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632011122560).

815326923840 is an abundant number, since it is smaller than the sum of its proper divisors (2448695321280).

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

815326923840 is a wasteful number, since it uses less digits than its factorization.

815326923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 815326923840 in words is "eight hundred fifteen billion, three hundred twenty-six million, nine hundred twenty-three thousand, eight hundred forty".