6826606416 has 120 divisors (see below), whose sum is σ = 22160409024. Its totient is φ = 1921328640.

The previous prime is 6826606373. The next prime is 6826606417. The reversal of 6826606416 is 6146066286.

6826606416 is a `hidden beast` number, since 6 + 8 + 26 + 606 + 4 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826606417) 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 23 ways as a sum of consecutive naturals, for example, 16996 + ... + 118076.

Almost surely, 2^6826606416 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 6826606416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080204512).

6826606416 is an abundant number, since it is smaller than the sum of its proper divisors (15333802608).

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

6826606416 is a wasteful number, since it uses less digits than its factorization.

6826606416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101169 (or 101160 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6826606416 is about 82623.2801091799. The cubic root of 6826606416 is about 1897.0041815139.

The spelling of 6826606416 in words is "six billion, eight hundred twenty-six million, six hundred six thousand, four hundred sixteen".