82636328217280 has 112 divisors (see below), whose sum is σ = 197257029854976. Its totient is φ = 32974119889920.

The previous prime is 82636328217277. The next prime is 82636328217281. The reversal of 82636328217280 is 8271282363628.

It is not an unprimeable number, because it can be changed into a prime (82636328217281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220122535 + ... + 220497625.

It is an arithmetic number, because the mean of its divisors is an integer number (1761223480848).

Almost surely, 2^{82636328217280} is an apocalyptic number.

82636328217280 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 82636328217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98628514927488).

82636328217280 is an abundant number, since it is smaller than the sum of its proper divisors (114620701637696).

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

82636328217280 is a wasteful number, since it uses less digits than its factorization.

82636328217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376782 (or 376772 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 82636328217280 in words is "eighty-two trillion, six hundred thirty-six billion, three hundred twenty-eight million, two hundred seventeen thousand, two hundred eighty".