6874843248000 has 4096 divisors, whose sum is σ = 33669690163200. Its totient is φ = 1354442342400.

The previous prime is 6874843247977. The next prime is 6874843248083. The reversal of 6874843248000 is 8423484786.

It is a happy number.

6874843248000 is a `hidden beast` number, since 6 + 87 + 4 + 84 + 3 + 2 + 480 + 0 + 0 = 666.

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 54132623937 + ... + 54132624063.

It is an arithmetic number, because the mean of its divisors is an integer number (8220139200).

Almost surely, 2^{6874843248000} is an apocalyptic number.

6874843248000 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 6874843248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834845081600).

6874843248000 is an abundant number, since it is smaller than the sum of its proper divisors (26794846915200).

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

6874843248000 is a wasteful number, since it uses less digits than its factorization.

6874843248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 6874843248000 in words is "six trillion, eight hundred seventy-four billion, eight hundred forty-three million, two hundred forty-eight thousand".