82742482368 has 560 divisors, whose sum is σ = 308972590080. Its totient is φ = 21309474816.

The previous prime is 82742482327. The next prime is 82742482369. The reversal of 82742482368 is 86328424728.

82742482368 is a `hidden beast` number, since 8 + 274 + 2 + 4 + 8 + 2 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82742482369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20282953 + ... + 20287031.

It is an arithmetic number, because the mean of its divisors is an integer number (551736768).

Almost surely, 2^82742482368 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 82742482368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154486295040).

82742482368 is an abundant number, since it is smaller than the sum of its proper divisors (226230107712).

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

82742482368 is a wasteful number, since it uses less digits than its factorization.

82742482368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4147 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 82742482368 in words is "eighty-two billion, seven hundred forty-two million, four hundred eighty-two thousand, three hundred sixty-eight".