82327540563840 has 1024 divisors, whose sum is σ = 316139656734720. Its totient is φ = 17955186278400.

The previous prime is 82327540563817. The next prime is 82327540563859. The reversal of 82327540563840 is 4836504572328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12979271709 + ... + 12979278051.

It is an arithmetic number, because the mean of its divisors is an integer number (308730133530).

Almost surely, 2^{82327540563840} is an apocalyptic number.

82327540563840 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 82327540563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158069828367360).

82327540563840 is an abundant number, since it is smaller than the sum of its proper divisors (233812116170880).

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

82327540563840 is a wasteful number, since it uses less digits than its factorization.

82327540563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 82327540563840 in words is "eighty-two trillion, three hundred twenty-seven billion, five hundred forty million, five hundred sixty-three thousand, eight hundred forty".