6839949312000 has 1920 divisors, whose sum is σ = 29678660444160. Its totient is φ = 1521745920000.

The previous prime is 6839949311999. The next prime is 6839949312043. The reversal of 6839949312000 is 2139499386.

6839949312000 is a `hidden beast` number, since 6 + 8 + 399 + 49 + 3 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 15869951785 + ... + 15869952215.

It is an arithmetic number, because the mean of its divisors is an integer number (15457635648).

Almost surely, 2^{6839949312000} is an apocalyptic number.

6839949312000 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 6839949312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839330222080).

6839949312000 is an abundant number, since it is smaller than the sum of its proper divisors (22838711132160).

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

6839949312000 is an equidigital number, since it uses as much as digits as its factorization.

6839949312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 6839949312000 in words is "six trillion, eight hundred thirty-nine billion, nine hundred forty-nine million, three hundred twelve thousand".