6738686134272 has 384 divisors, whose sum is σ = 22054833964800. Its totient is φ = 2022173835264.

The previous prime is 6738686134261. The next prime is 6738686134303. The reversal of 6738686134272 is 2724316868376.

6738686134272 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 6 + 8 + 613 + 4 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6738686134272² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21464898 + ... + 21776574.

It is an arithmetic number, because the mean of its divisors is an integer number (57434463450).

Almost surely, 2^{6738686134272} 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 6738686134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027416982400).

6738686134272 is an abundant number, since it is smaller than the sum of its proper divisors (15316147830528).

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

6738686134272 is a wasteful number, since it uses less digits than its factorization.

6738686134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311748 (or 311722 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 6738686134272 in words is "six trillion, seven hundred thirty-eight billion, six hundred eighty-six million, one hundred thirty-four thousand, two hundred seventy-two".