7638139305216 has 864 divisors, whose sum is σ = 26378980992000. Its totient is φ = 2123898900480.

The previous prime is 7638139305073. The next prime is 7638139305227. The reversal of 7638139305216 is 6125039318367.

7638139305216 is a `hidden beast` number, since 7 + 6 + 3 + 81 + 3 + 9 + 30 + 521 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4988986371 + ... + 4988987901.

It is an arithmetic number, because the mean of its divisors is an integer number (30531228000).

Almost surely, 2^{7638139305216} 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 7638139305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13189490496000).

7638139305216 is an abundant number, since it is smaller than the sum of its proper divisors (18740841686784).

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

7638139305216 is a wasteful number, since it uses less digits than its factorization.

7638139305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 7638139305216 in words is "seven trillion, six hundred thirty-eight billion, one hundred thirty-nine million, three hundred five thousand, two hundred sixteen".