82324200384 has 168 divisors, whose sum is σ = 241755454512. Its totient is φ = 26769899520.

The previous prime is 82324200379. The next prime is 82324200401. The reversal of 82324200384 is 48300242328.

It is a happy number.

82324200384 is a `hidden beast` number, since 8 + 232 + 42 + 0 + 0 + 384 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27069904 + ... + 27072944.

Almost surely, 2^82324200384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82324200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120877727256).

82324200384 is an abundant number, since it is smaller than the sum of its proper divisors (159431254128).

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

82324200384 is a wasteful number, since it uses less digits than its factorization.

82324200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 82324200384 in words is "eighty-two billion, three hundred twenty-four million, two hundred thousand, three hundred eighty-four".