816480976896 has 306 divisors, whose sum is σ = 2554412310528. Its totient is φ = 251194245120.

The previous prime is 816480976891. The next prime is 816480976897. The reversal of 816480976896 is 698679084618.

816480976896 is a `hidden beast` number, since 81 + 6 + 480 + 9 + 7 + 68 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816480976891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99676161 + ... + 99684351.

Almost surely, 2^816480976896 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 816480976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277206155264).

816480976896 is an abundant number, since it is smaller than the sum of its proper divisors (1737931333632).

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

816480976896 is an equidigital number, since it uses as much as digits as its factorization.

816480976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 816480976896 in words is "eight hundred sixteen billion, four hundred eighty million, nine hundred seventy-six thousand, eight hundred ninety-six".