6738051840 has 432 divisors, whose sum is σ = 24051519072. Its totient is φ = 1597833216.

The previous prime is 6738051823. The next prime is 6738051851. The reversal of 6738051840 is 481508376.

It is a junction number, because it is equal to n+sod(n) for n = 6738051792 and 6738051801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92302044 + ... + 92302116.

Almost surely, 2^6738051840 is an apocalyptic number.

6738051840 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 6738051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025759536).

6738051840 is an abundant number, since it is smaller than the sum of its proper divisors (17313467232).

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

6738051840 is a wasteful number, since it uses less digits than its factorization.

6738051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 6738051840 is about 82085.6372333187. The cubic root of 6738051840 is about 1888.7658245288.

The spelling of 6738051840 in words is "six billion, seven hundred thirty-eight million, fifty-one thousand, eight hundred forty".