82786635936 has 144 divisors (see below), whose sum is σ = 245040737760. Its totient is φ = 26480079360.

The previous prime is 82786635923. The next prime is 82786635937. The reversal of 82786635936 is 63953668728.

82786635936 is a `hidden beast` number, since 8 + 278 + 6 + 6 + 359 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (82786635937) 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 23 ways as a sum of consecutive naturals, for example, 1330971 + ... + 1391781.

It is an arithmetic number, because the mean of its divisors is an integer number (1701671790).

Almost surely, 2^82786635936 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 82786635936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122520368880).

82786635936 is an abundant number, since it is smaller than the sum of its proper divisors (162254101824).

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

82786635936 is a wasteful number, since it uses less digits than its factorization.

82786635936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61019 (or 61008 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 82786635936 in words is "eighty-two billion, seven hundred eighty-six million, six hundred thirty-five thousand, nine hundred thirty-six".