82632773191680 has 576 divisors, whose sum is σ = 293500973525760. Its totient is φ = 21488762880000.

The previous prime is 82632773191679. The next prime is 82632773191681. The reversal of 82632773191680 is 8619137723628.

82632773191680 is a `hidden beast` number, since 8 + 263 + 277 + 3 + 19 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82632773191679) and next prime (82632773191681).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (82632773191681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17392709305 + ... + 17392714055.

It is an arithmetic number, because the mean of its divisors is an integer number (509550301260).

Almost surely, 2^{82632773191680} is an apocalyptic number.

82632773191680 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 82632773191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146750486762880).

82632773191680 is an abundant number, since it is smaller than the sum of its proper divisors (210868200334080).

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

82632773191680 is a wasteful number, since it uses less digits than its factorization.

82632773191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 82632773191680 in words is "eighty-two trillion, six hundred thirty-two billion, seven hundred seventy-three million, one hundred ninety-one thousand, six hundred eighty".