82320682084641 has 128 divisors (see below), whose sum is σ = 172364084121600. Its totient is φ = 37396849927680.

The previous prime is 82320682084579. The next prime is 82320682084691. The reversal of 82320682084641 is 14648028602328.

82320682084641 is a `hidden beast` number, since 82 + 3 + 20 + 6 + 82 + 0 + 8 + 464 + 1 = 666.

It is not a de Polignac number, because 82320682084641 - 2¹⁰ = 82320682083617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82320682084691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79640916 + ... + 80667941.

It is an arithmetic number, because the mean of its divisors is an integer number (1346594407200).

Almost surely, 2^{82320682084641} is an apocalyptic number.

It is an amenable number.

82320682084641 is an abundant number, since it is smaller than the sum of its proper divisors (90043402036959).

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

82320682084641 is a wasteful number, since it uses less digits than its factorization.

82320682084641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160308916 (or 160308910 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 82320682084641 in words is "eighty-two trillion, three hundred twenty billion, six hundred eighty-two million, eighty-four thousand, six hundred forty-one".