6738054400 has 432 divisors, whose sum is σ = 21150396288. Its totient is φ = 2081587200.

The previous prime is 6738054347. The next prime is 6738054403. The reversal of 6738054400 is 44508376.

It is a self number, because there is not a number n which added to its sum of digits gives 6738054400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738054403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59628744 + ... + 59628856.

Almost surely, 2^6738054400 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 6738054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575198144).

6738054400 is an abundant number, since it is smaller than the sum of its proper divisors (14412341888).

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

6738054400 is a wasteful number, since it uses less digits than its factorization.

6738054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 6738054400 is about 82085.6528267882. The cubic root of 6738054400 is about 1888.7660637295.

The spelling of 6738054400 in words is "six billion, seven hundred thirty-eight million, fifty-four thousand, four hundred".