816564224000 has 720 divisors, whose sum is σ = 2424149844480. Its totient is φ = 273737318400.

The previous prime is 816564223901. The next prime is 816564224039. The reversal of 816564224000 is 422465618.

It is a super-3 number, since 3×816564224000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7927807949 + ... + 7927808051.

It is an arithmetic number, because the mean of its divisors is an integer number (3366874784).

Almost surely, 2^816564224000 is an apocalyptic number.

816564224000 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 816564224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212074922240).

816564224000 is an abundant number, since it is smaller than the sum of its proper divisors (1607585620480).

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

816564224000 is an equidigital number, since it uses as much as digits as its factorization.

816564224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

Adding to 816564224000 its reverse (422465618), we get a palindrome (816986689618).

The spelling of 816564224000 in words is "eight hundred sixteen billion, five hundred sixty-four million, two hundred twenty-four thousand".