82368000000 has 1092 divisors, whose sum is σ = 349392871464. Its totient is φ = 18432000000.

The previous prime is 82367999927. The next prime is 82368000017. The reversal of 82368000000 is 86328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6335999994 + ... + 6336000006.

It is an arithmetic number, because the mean of its divisors is an integer number (319956842).

Almost surely, 2^82368000000 is an apocalyptic number.

82368000000 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 82368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174696435732).

82368000000 is an abundant number, since it is smaller than the sum of its proper divisors (267024871464).

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

82368000000 is an equidigital number, since it uses as much as digits as its factorization.

82368000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 82368000000 its reverse (86328), we get a palindrome (82368086328).

The spelling of 82368000000 in words is "eighty-two billion, three hundred sixty-eight million", and thus it is an aban number.