82173424320 has 840 divisors, whose sum is σ = 326117644944. Its totient is φ = 19680620544.

The previous prime is 82173424279. The next prime is 82173424327. The reversal of 82173424320 is 2342437128.

It is a happy number.

82173424320 is a `hidden beast` number, since 8 + 217 + 3 + 4 + 2 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82173424327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2220903342 + ... + 2220903378.

Almost surely, 2^82173424320 is an apocalyptic number.

82173424320 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 82173424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163058822472).

82173424320 is an abundant number, since it is smaller than the sum of its proper divisors (243944220624).

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

82173424320 is an frugal number, since it uses more digits than its factorization.

82173424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 82173424320 in words is "eighty-two billion, one hundred seventy-three million, four hundred twenty-four thousand, three hundred twenty".