6873857178048 has 672 divisors, whose sum is σ = 23677020057600. Its totient is φ = 1904871628800.

The previous prime is 6873857178031. The next prime is 6873857178053. The reversal of 6873857178048 is 8408717583786.

It is a happy number.

6873857178048 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 8 + 571 + 7 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 1049280373 + ... + 1049286923.

It is an arithmetic number, because the mean of its divisors is an integer number (35233660800).

Almost surely, 2^{6873857178048} 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 6873857178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838510028800).

6873857178048 is an abundant number, since it is smaller than the sum of its proper divisors (16803162879552).

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

6873857178048 is a wasteful number, since it uses less digits than its factorization.

6873857178048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 6873857178048 in words is "six trillion, eight hundred seventy-three billion, eight hundred fifty-seven million, one hundred seventy-eight thousand, forty-eight".