82744874784 has 288 divisors, whose sum is σ = 286685590464. Its totient is φ = 23145108480.

The previous prime is 82744874767. The next prime is 82744874789. The reversal of 82744874784 is 48747844728.

82744874784 is a `hidden beast` number, since 8 + 2 + 74 + 487 + 4 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (82744874789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074762 + ... + 1149174.

It is an arithmetic number, because the mean of its divisors is an integer number (995436078).

Almost surely, 2^82744874784 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 82744874784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143342795232).

82744874784 is an abundant number, since it is smaller than the sum of its proper divisors (203940715680).

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

82744874784 is a wasteful number, since it uses less digits than its factorization.

82744874784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74462 (or 74442 counting only the distinct ones).

The product of its digits is 89915392, while the sum is 63.

The spelling of 82744874784 in words is "eighty-two billion, seven hundred forty-four million, eight hundred seventy-four thousand, seven hundred eighty-four".