810931347072 has 1440 divisors, whose sum is σ = 3185477111520. Its totient is φ = 202487040000.

The previous prime is 810931347011. The next prime is 810931347113. The reversal of 810931347072 is 270743139018.

810931347072 is a `hidden beast` number, since 8 + 10 + 93 + 13 + 470 + 72 = 666.

810931347072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5370406197 + ... + 5370406347.

It is an arithmetic number, because the mean of its divisors is an integer number (2212136883).

Almost surely, 2^810931347072 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 810931347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592738555760).

810931347072 is an abundant number, since it is smaller than the sum of its proper divisors (2374545764448).

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

810931347072 is a wasteful number, since it uses less digits than its factorization.

810931347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 810931347072 in words is "eight hundred ten billion, nine hundred thirty-one million, three hundred forty-seven thousand, seventy-two".