82627783274808 has 96 divisors (see below), whose sum is σ = 235579790478240. Its totient is φ = 26111947868160.

The previous prime is 82627783274791. The next prime is 82627783274867. The reversal of 82627783274808 is 80847238772628.

82627783274808 is a `hidden beast` number, since 8 + 2 + 6 + 277 + 8 + 3 + 274 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220591653 + ... + 220965908.

It is an arithmetic number, because the mean of its divisors is an integer number (2453956150815).

Almost surely, 2^{82627783274808} is an apocalyptic number.

It is an amenable number.

82627783274808 is an abundant number, since it is smaller than the sum of its proper divisors (152952007203432).

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

82627783274808 is a wasteful number, since it uses less digits than its factorization.

82627783274808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441557709 (or 441557702 counting only the distinct ones).

The product of its (nonzero) digits is 809238528, while the sum is 72.

The spelling of 82627783274808 in words is "eighty-two trillion, six hundred twenty-seven billion, seven hundred eighty-three million, two hundred seventy-four thousand, eight hundred eight".