82440705600 has 1008 divisors, whose sum is σ = 335210164224. Its totient is φ = 19035648000.

The previous prime is 82440705577. The next prime is 82440705601. The reversal of 82440705600 is 650704428.

82440705600 is a `hidden beast` number, since 8 + 2 + 4 + 40 + 7 + 0 + 5 + 600 = 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 (82440705601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 505771119 + ... + 505771281.

Almost surely, 2^82440705600 is an apocalyptic number.

82440705600 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 82440705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167605082112).

82440705600 is an abundant number, since it is smaller than the sum of its proper divisors (252769458624).

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

82440705600 is a wasteful number, since it uses less digits than its factorization.

82440705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 82440705600 in words is "eighty-two billion, four hundred forty million, seven hundred five thousand, six hundred".