816321576960 has 600 divisors, whose sum is σ = 2995681295376. Its totient is φ = 212548976640.

The previous prime is 816321576953. The next prime is 816321576979. The reversal of 816321576960 is 69675123618.

816321576960 is a `hidden beast` number, since 8 + 1 + 6 + 3 + 2 + 1 + 576 + 9 + 60 = 666.

It is a super-2 number, since 2×816321576960² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 816321576897 and 816321576906.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 285325930 + ... + 285328790.

Almost surely, 2^816321576960 is an apocalyptic number.

816321576960 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 816321576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497840647688).

816321576960 is an abundant number, since it is smaller than the sum of its proper divisors (2179359718416).

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

816321576960 is an equidigital number, since it uses as much as digits as its factorization.

816321576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 816321576960 in words is "eight hundred sixteen billion, three hundred twenty-one million, five hundred seventy-six thousand, nine hundred sixty".