82688449536 has 880 divisors, whose sum is σ = 313298295552. Its totient is φ = 21276794880.

The previous prime is 82688449499. The next prime is 82688449541. The reversal of 82688449536 is 63594488628.

82688449536 is a `hidden beast` number, since 8 + 2 + 68 + 84 + 495 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 772789195 + ... + 772789301.

Almost surely, 2^82688449536 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 82688449536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156649147776).

82688449536 is an abundant number, since it is smaller than the sum of its proper divisors (230609846016).

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

82688449536 is a wasteful number, since it uses less digits than its factorization.

82688449536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 130 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 82688449536 in words is "eighty-two billion, six hundred eighty-eight million, four hundred forty-nine thousand, five hundred thirty-six".