6138328939776 has 288 divisors, whose sum is σ = 20967157411200. Its totient is φ = 1750681681920.

The previous prime is 6138328939751. The next prime is 6138328939783. The reversal of 6138328939776 is 6779398238316.

6138328939776 is a `hidden beast` number, since 6 + 1 + 383 + 2 + 8 + 93 + 97 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081971 + ... + 3667058.

It is an arithmetic number, because the mean of its divisors is an integer number (72802629900).

Almost surely, 2^{6138328939776} is an apocalyptic number.

6138328939776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6138328939776 is an abundant number, since it is smaller than the sum of its proper divisors (14828828471424).

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

6138328939776 is a wasteful number, since it uses less digits than its factorization.

6138328939776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749082 (or 4749062 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 6138328939776 in words is "six trillion, one hundred thirty-eight billion, three hundred twenty-eight million, nine hundred thirty-nine thousand, seven hundred seventy-six".