82200624768 has 384 divisors, whose sum is σ = 259598976000. Its totient is φ = 25819057152.

The previous prime is 82200624757. The next prime is 82200624769. The reversal of 82200624768 is 86742600228.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (82200624769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216888003 + ... + 216888381.

It is an arithmetic number, because the mean of its divisors is an integer number (676039000).

Almost surely, 2^82200624768 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 82200624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129799488000).

82200624768 is an abundant number, since it is smaller than the sum of its proper divisors (177398351232).

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

82200624768 is a wasteful number, since it uses less digits than its factorization.

82200624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 82200624768 in words is "eighty-two billion, two hundred million, six hundred twenty-four thousand, seven hundred sixty-eight".