6356840378112 has 648 divisors, whose sum is σ = 21670711695360. Its totient is φ = 1786547589120.

The previous prime is 6356840378107. The next prime is 6356840378113. The reversal of 6356840378112 is 2118730486536.

6356840378112 is a `hidden beast` number, since 6 + 3 + 56 + 8 + 403 + 78 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6356840378113) by changing a digit.

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, 5763227353 + ... + 5763228455.

It is an arithmetic number, because the mean of its divisors is an integer number (33442456320).

Almost surely, 2^{6356840378112} 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 6356840378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835355847680).

6356840378112 is an abundant number, since it is smaller than the sum of its proper divisors (15313871317248).

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

6356840378112 is a wasteful number, since it uses less digits than its factorization.

6356840378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6356840378112 in words is "six trillion, three hundred fifty-six billion, eight hundred forty million, three hundred seventy-eight thousand, one hundred twelve".