8082631065600 has 1728 divisors, whose sum is σ = 36292291324380. Its totient is φ = 1704355430400.

The previous prime is 8082631065581. The next prime is 8082631065601. The reversal of 8082631065600 is 65601362808.

8082631065600 is a `hidden beast` number, since 8 + 0 + 8 + 2 + 6 + 31 + 0 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2372289970176 + 5710341095424 = 1540224^2 + 2389632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8082631065601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4696472740 + ... + 4696474460.

Almost surely, 2^{8082631065600} is an apocalyptic number.

8082631065600 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 8082631065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146145662190).

8082631065600 is an abundant number, since it is smaller than the sum of its proper divisors (28209660258780).

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

8082631065600 is a wasteful number, since it uses less digits than its factorization.

8082631065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8082631065600 in words is "eight trillion, eighty-two billion, six hundred thirty-one million, sixty-five thousand, six hundred".