816603480000 has 1680 divisors, whose sum is σ = 3698707034880. Its totient is φ = 167270400000.

The previous prime is 816603479983. The next prime is 816603480019. The reversal of 816603480000 is 84306618.

It is a happy number.

816603480000 is a `hidden beast` number, since 8 + 1 + 6 + 603 + 48 + 0 + 0 + 0 + 0 = 666.

816603480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×816603480000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2467079835 + ... + 2467080165.

Almost surely, 2^816603480000 is an apocalyptic number.

816603480000 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 816603480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849353517440).

816603480000 is an abundant number, since it is smaller than the sum of its proper divisors (2882103554880).

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

816603480000 is a wasteful number, since it uses less digits than its factorization.

816603480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 816603480000 its reverse (84306618), we get a palindrome (816687786618).

The spelling of 816603480000 in words is "eight hundred sixteen billion, six hundred three million, four hundred eighty thousand".