82446880320 has 560 divisors, whose sum is σ = 343380901248. Its totient is φ = 18383708160.

The previous prime is 82446880319. The next prime is 82446880349. The reversal of 82446880320 is 2308864428.

82446880320 is a `hidden beast` number, since 8 + 244 + 6 + 8 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7433499 + ... + 7444581.

Almost surely, 2^82446880320 is an apocalyptic number.

82446880320 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 82446880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171690450624).

82446880320 is an abundant number, since it is smaller than the sum of its proper divisors (260934020928).

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

82446880320 is a wasteful number, since it uses less digits than its factorization.

82446880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11160 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 82446880320 in words is "eighty-two billion, four hundred forty-six million, eight hundred eighty thousand, three hundred twenty".