816361067808 has 384 divisors, whose sum is σ = 2819401482240. Its totient is φ = 226550338560.

The previous prime is 816361067803. The next prime is 816361067827. The reversal of 816361067808 is 808760163618.

816361067808 is a `hidden beast` number, since 8 + 16 + 3 + 610 + 6 + 7 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (816361067803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15665091 + ... + 15717117.

It is an arithmetic number, because the mean of its divisors is an integer number (7342191360).

Almost surely, 2^816361067808 is an apocalyptic number.

816361067808 is a gapful number since it is divisible by the number (88) 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 816361067808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409700741120).

816361067808 is an abundant number, since it is smaller than the sum of its proper divisors (2003040414432).

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

816361067808 is a wasteful number, since it uses less digits than its factorization.

816361067808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52197 (or 52183 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 816361067808 in words is "eight hundred sixteen billion, three hundred sixty-one million, sixty-seven thousand, eight hundred eight".