6856482378438 has 448 divisors, whose sum is σ = 20618981568000. Its totient is φ = 1655311956480.

The previous prime is 6856482378409. The next prime is 6856482378463. The reversal of 6856482378438 is 8348732846586.

6856482378438 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 482 + 37 + 84 + 38 = 666.

It is a super-2 number, since 2×6856482378438² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 113021538 + ... + 113082186.

Almost surely, 2^{6856482378438} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856482378438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309490784000).

6856482378438 is an abundant number, since it is smaller than the sum of its proper divisors (13762499189562).

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

6856482378438 is a wasteful number, since it uses less digits than its factorization.

6856482378438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60759 (or 60744 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 72.

The spelling of 6856482378438 in words is "six trillion, eight hundred fifty-six billion, four hundred eighty-two million, three hundred seventy-eight thousand, four hundred thirty-eight".