82363866836328 has 768 divisors, whose sum is σ = 295183429632000. Its totient is φ = 20114424506880.

The previous prime is 82363866836311. The next prime is 82363866836467.

82363866836328 is a `hidden beast` number, since 8 + 236 + 3 + 8 + 6 + 6 + 8 + 363 + 28 = 666.

82363866836328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2106096151 + ... + 2106135257.

It is an arithmetic number, because the mean of its divisors is an integer number (384353424000).

Almost surely, 2^{82363866836328} is an apocalyptic number.

82363866836328 is a gapful number since it is divisible by the number (88) 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 82363866836328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147591714816000).

82363866836328 is an abundant number, since it is smaller than the sum of its proper divisors (212819562795672).

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

82363866836328 is a wasteful number, since it uses less digits than its factorization.

82363866836328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39442 (or 39435 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 72.

The spelling of 82363866836328 in words is "eighty-two trillion, three hundred sixty-three billion, eight hundred sixty-six million, eight hundred thirty-six thousand, three hundred twenty-eight".