6826339494000 has 1920 divisors, whose sum is σ = 29402850597120. Its totient is φ = 1457160192000.

The previous prime is 6826339493999. The next prime is 6826339494031. The reversal of 6826339494000 is 4949336286.

6826339494000 is a `hidden beast` number, since 68 + 2 + 63 + 39 + 494 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2796532780 + ... + 2796535220.

It is an arithmetic number, because the mean of its divisors is an integer number (15313984686).

Almost surely, 2^{6826339494000} is an apocalyptic number.

6826339494000 is a gapful number since it is divisible by the number (60) 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 6826339494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701425298560).

6826339494000 is an abundant number, since it is smaller than the sum of its proper divisors (22576511103120).

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

6826339494000 is a wasteful number, since it uses less digits than its factorization.

6826339494000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 6826339494000 in words is "six trillion, eight hundred twenty-six billion, three hundred thirty-nine million, four hundred ninety-four thousand".