6836164128000 has 1440 divisors, whose sum is σ = 27013954007040. Its totient is φ = 1711864627200.

The previous prime is 6836164127987. The next prime is 6836164128023. The reversal of 6836164128000 is 8214616386.

6836164128000 is a `hidden beast` number, since 6 + 8 + 3 + 616 + 4 + 1 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 6254495454 + ... + 6254496546.

Almost surely, 2^{6836164128000} is an apocalyptic number.

6836164128000 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 6836164128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506977003520).

6836164128000 is an abundant number, since it is smaller than the sum of its proper divisors (20177789879040).

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

6836164128000 is a wasteful number, since it uses less digits than its factorization.

6836164128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6836164128000 in words is "six trillion, eight hundred thirty-six billion, one hundred sixty-four million, one hundred twenty-eight thousand".