7138773278208 has 640 divisors, whose sum is σ = 24859783872000. Its totient is φ = 1994106470400.

The previous prime is 7138773278177. The next prime is 7138773278209. The reversal of 7138773278208 is 8028723778317.

7138773278208 is a `hidden beast` number, since 7 + 1 + 38 + 77 + 327 + 8 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7138773278209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1741586943 + ... + 1741591041.

It is an arithmetic number, because the mean of its divisors is an integer number (38843412300).

Almost surely, 2^{7138773278208} is an apocalyptic number.

7138773278208 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138773278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429891936000).

7138773278208 is an abundant number, since it is smaller than the sum of its proper divisors (17721010593792).

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

7138773278208 is a wasteful number, since it uses less digits than its factorization.

7138773278208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 7138773278208 in words is "seven trillion, one hundred thirty-eight billion, seven hundred seventy-three million, two hundred seventy-eight thousand, two hundred eight".