816672672288 has 486 divisors, whose sum is σ = 2633772184407. Its totient is φ = 239859544320.

The previous prime is 816672672287. The next prime is 816672672289. The reversal of 816672672288 is 882276276618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (816672672287) and next prime (816672672289).

It can be written as a sum of positive squares in only one way, i.e., 408336336144 + 408336336144 = 639012^2 + 639012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=639012.

It is not an unprimeable number, because it can be changed into a prime (816672672287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7928860845 + ... + 7928860947.

Almost surely, 2^816672672288 is an apocalyptic number.

816672672288 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 816672672288

816672672288 is an abundant number, since it is smaller than the sum of its proper divisors (1817099512119).

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

816672672288 is a wasteful number, since it uses less digits than its factorization.

816672672288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 166 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 816672672288 in words is "eight hundred sixteen billion, six hundred seventy-two million, six hundred seventy-two thousand, two hundred eighty-eight".