815969396736 has 672 divisors, whose sum is σ = 2790450379080. Its totient is φ = 236203278336.

The previous prime is 815969396713. The next prime is 815969396747. The reversal of 815969396736 is 637693969518.

815969396736 is a `hidden beast` number, since 81 + 5 + 96 + 9 + 396 + 73 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 739049702400 + 76919694336 = 859680^2 + 277344^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 329949996 + ... + 329952468.

Almost surely, 2^815969396736 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 815969396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395225189540).

815969396736 is an abundant number, since it is smaller than the sum of its proper divisors (1974480982344).

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

815969396736 is a wasteful number, since it uses less digits than its factorization.

815969396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2508 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 815969396736 in words is "eight hundred fifteen billion, nine hundred sixty-nine million, three hundred ninety-six thousand, seven hundred thirty-six".