82004626368 has 448 divisors, whose sum is σ = 285647831040. Its totient is φ = 22575283200.

The previous prime is 82004626331. The next prime is 82004626387. The reversal of 82004626368 is 86362640028.

82004626368 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 4 + 6 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 143615523 + ... + 143616093.

Almost surely, 2^82004626368 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 82004626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142823915520).

82004626368 is an abundant number, since it is smaller than the sum of its proper divisors (203643204672).

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

82004626368 is a wasteful number, since it uses less digits than its factorization.

82004626368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 82004626368 in words is "eighty-two billion, four million, six hundred twenty-six thousand, three hundred sixty-eight".