6378339744 has 144 divisors (see below), whose sum is σ = 20765384640. Its totient is φ = 1819238400.

The previous prime is 6378339743. The next prime is 6378339791. The reversal of 6378339744 is 4479338736.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6378339743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326144 + ... + 1330944.

It is an arithmetic number, because the mean of its divisors is an integer number (144204060).

Almost surely, 2^6378339744 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 6378339744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382692320).

6378339744 is an abundant number, since it is smaller than the sum of its proper divisors (14387044896).

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

6378339744 is a wasteful number, since it uses less digits than its factorization.

6378339744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5472 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 6378339744 is about 79864.5086631102. The cubic root of 6378339744 is about 1854.5386243431.

The spelling of 6378339744 in words is "six billion, three hundred seventy-eight million, three hundred thirty-nine thousand, seven hundred forty-four".