82336075409340 has 480 divisors, whose sum is σ = 270640454515200. Its totient is φ = 20935119389184.

The previous prime is 82336075409333. The next prime is 82336075409363. The reversal of 82336075409340 is 4390457063328.

82336075409340 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 6 + 0 + 7 + 540 + 93 + 4 + 0 = 666.

82336075409340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 734647987 + ... + 734760053.

It is an arithmetic number, because the mean of its divisors is an integer number (563834280240).

Almost surely, 2^{82336075409340} 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 82336075409340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135320227257600).

82336075409340 is an abundant number, since it is smaller than the sum of its proper divisors (188304379105860).

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

82336075409340 is a wasteful number, since it uses less digits than its factorization.

82336075409340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112383 (or 112372 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 82336075409340 in words is "eighty-two trillion, three hundred thirty-six billion, seventy-five million, four hundred nine thousand, three hundred forty".