638612000082 has 192 divisors, whose sum is σ = 1696536691200. Its totient is φ = 169624046592.

The previous prime is 638612000051. The next prime is 638612000093. The reversal of 638612000082 is 280000216836.

638612000082 is a `hidden beast` number, since 6 + 38 + 612 + 0 + 0 + 0 + 0 + 8 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 117195294 + ... + 117200742.

It is an arithmetic number, because the mean of its divisors is an integer number (8836128600).

Almost surely, 2^638612000082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638612000082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848268345600).

638612000082 is an abundant number, since it is smaller than the sum of its proper divisors (1057924691118).

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

638612000082 is a wasteful number, since it uses less digits than its factorization.

638612000082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 638612000082 in words is "six hundred thirty-eight billion, six hundred twelve million, eighty-two", and thus it is an aban number.