6738325171200 has 792 divisors, whose sum is σ = 27831423889152. Its totient is φ = 1525755248640.

The previous prime is 6738325171187. The next prime is 6738325171271. The reversal of 6738325171200 is 21715238376.

6738325171200 is a `hidden beast` number, since 6 + 7 + 3 + 8 + 3 + 2 + 517 + 120 + 0 = 666.

It is a super-2 number, since 2×6738325171200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 172550077 + ... + 172589123.

Almost surely, 2^{6738325171200} is an apocalyptic number.

6738325171200 is a gapful number since it is divisible by the number (60) 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 6738325171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915711944576).

6738325171200 is an abundant number, since it is smaller than the sum of its proper divisors (21093098717952).

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

6738325171200 is a wasteful number, since it uses less digits than its factorization.

6738325171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39197 (or 39171 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 6738325171200 in words is "six trillion, seven hundred thirty-eight billion, three hundred twenty-five million, one hundred seventy-one thousand, two hundred".