6378351408 has 360 divisors, whose sum is σ = 21881255760. Its totient is φ = 1720857600.

The previous prime is 6378351403. The next prime is 6378351521. The reversal of 6378351408 is 8041538736.

6378351408 is a `hidden beast` number, since 63 + 78 + 3 + 514 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6378351403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6568363 + ... + 6569333.

It is an arithmetic number, because the mean of its divisors is an integer number (60781266).

Almost surely, 2^6378351408 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 6378351408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940627880).

6378351408 is an abundant number, since it is smaller than the sum of its proper divisors (15502904352).

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

6378351408 is a wasteful number, since it uses less digits than its factorization.

6378351408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6378351408 is about 79864.5816867527. The cubic root of 6378351408 is about 1854.5397548006.

The spelling of 6378351408 in words is "six billion, three hundred seventy-eight million, three hundred fifty-one thousand, four hundred eight".