810136204416 has 640 divisors, whose sum is σ = 3182731263360. Its totient is φ = 198043729920.

The previous prime is 810136204391. The next prime is 810136204417. The reversal of 810136204416 is 614402631018.

810136204416 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 36 + 204 + 416 = 666.

810136204416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (810136204417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13541866 + ... + 13601558.

It is an arithmetic number, because the mean of its divisors is an integer number (4973017599).

Almost surely, 2^810136204416 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 810136204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591365631680).

810136204416 is an abundant number, since it is smaller than the sum of its proper divisors (2372595058944).

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

810136204416 is a wasteful number, since it uses less digits than its factorization.

810136204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59754 (or 59733 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 810136204416 in words is "eight hundred ten billion, one hundred thirty-six million, two hundred four thousand, four hundred sixteen".