817283585664 has 1024 divisors, whose sum is σ = 3035128320000. Its totient is φ = 210798526464.

The previous prime is 817283585611. The next prime is 817283585669. The reversal of 817283585664 is 466585382718.

817283585664 is a `hidden beast` number, since 8 + 17 + 2 + 8 + 3 + 58 + 566 + 4 = 666.

817283585664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (817283585669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5014009647 + ... + 5014009809.

It is an arithmetic number, because the mean of its divisors is an integer number (2963992500).

Almost surely, 2^817283585664 is an apocalyptic number.

817283585664 is a gapful number since it is divisible by the number (84) 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 817283585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517564160000).

817283585664 is an abundant number, since it is smaller than the sum of its proper divisors (2217844734336).

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

817283585664 is a wasteful number, since it uses less digits than its factorization.

817283585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 817283585664 in words is "eight hundred seventeen billion, two hundred eighty-three million, five hundred eighty-five thousand, six hundred sixty-four".