6836216638464 has 352 divisors, whose sum is σ = 21151985725440. Its totient is φ = 2176962822144.

The previous prime is 6836216638453. The next prime is 6836216638469. The reversal of 6836216638464 is 4648366126386.

6836216638464 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 2 + 166 + 3 + 8 + 464 = 666.

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 (6836216638469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548778924 + ... + 548791380.

Almost surely, 2^{6836216638464} is an apocalyptic number.

6836216638464 is a gapful number since it is divisible by the number (64) 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 6836216638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575992862720).

6836216638464 is an abundant number, since it is smaller than the sum of its proper divisors (14315769086976).

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

6836216638464 is a wasteful number, since it uses less digits than its factorization.

6836216638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13348 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 6836216638464 in words is "six trillion, eight hundred thirty-six billion, two hundred sixteen million, six hundred thirty-eight thousand, four hundred sixty-four".