82744441920 has 1120 divisors, whose sum is σ = 353170540800. Its totient is φ = 18370437120.

The previous prime is 82744441909. The next prime is 82744441937. The reversal of 82744441920 is 2914444728.

82744441920 is a `hidden beast` number, since 82 + 7 + 44 + 441 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

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 159 ways as a sum of consecutive naturals, for example, 364512847 + ... + 364513073.

It is an arithmetic number, because the mean of its divisors is an integer number (315330840).

Almost surely, 2^82744441920 is an apocalyptic number.

82744441920 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 82744441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176585270400).

82744441920 is an abundant number, since it is smaller than the sum of its proper divisors (270426098880).

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

82744441920 is a wasteful number, since it uses less digits than its factorization.

82744441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 82744441920 in words is "eighty-two billion, seven hundred forty-four million, four hundred forty-one thousand, nine hundred twenty".