6874910648424 has 448 divisors, whose sum is σ = 23974419517440. Its totient is φ = 1798868736000.

The previous prime is 6874910648423. The next prime is 6874910648447. The reversal of 6874910648424 is 4248460194786.

6874910648424 is a `hidden beast` number, since 6 + 8 + 7 + 49 + 106 + 484 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6874910648423) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 67349424 + ... + 67451424.

It is an arithmetic number, because the mean of its divisors is an integer number (53514329280).

Almost surely, 2^{6874910648424} 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 6874910648424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987209758720).

6874910648424 is an abundant number, since it is smaller than the sum of its proper divisors (17099508869016).

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

6874910648424 is a wasteful number, since it uses less digits than its factorization.

6874910648424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102172 (or 102153 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 6874910648424 in words is "six trillion, eight hundred seventy-four billion, nine hundred ten million, six hundred forty-eight thousand, four hundred twenty-four".