816837166080 has 264 divisors, whose sum is σ = 3048038629272. Its totient is φ = 201067462656.

The previous prime is 816837166063. The next prime is 816837166087. The reversal of 816837166080 is 80661738618.

816837166080 is a `hidden beast` number, since 8 + 16 + 8 + 3 + 7 + 16 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5281219584 + 811555946496 = 72672^2 + 900864^2 .

It is not an unprimeable number, because it can be changed into a prime (816837166087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82749 + ... + 1280828.

Almost surely, 2^816837166080 is an apocalyptic number.

816837166080 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 816837166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524019314636).

816837166080 is an abundant number, since it is smaller than the sum of its proper divisors (2231201463192).

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

816837166080 is a wasteful number, since it uses less digits than its factorization.

816837166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363621 (or 1363600 counting only the distinct ones).

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

The spelling of 816837166080 in words is "eight hundred sixteen billion, eight hundred thirty-seven million, one hundred sixty-six thousand, eighty".