6874476291200 has 192 divisors, whose sum is σ = 19608209577600. Its totient is φ = 2332663971840.

The previous prime is 6874476291187. The next prime is 6874476291257. The reversal of 6874476291200 is 21926744786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 23 ways as a sum of consecutive naturals, for example, 590861 + ... + 3754739.

It is an arithmetic number, because the mean of its divisors is an integer number (102126091550).

Almost surely, 2^{6874476291200} 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 6874476291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804104788800).

6874476291200 is an abundant number, since it is smaller than the sum of its proper divisors (12733733286400).

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

6874476291200 is a wasteful number, since it uses less digits than its factorization.

6874476291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164007 (or 3163990 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 6874476291200 in words is "six trillion, eight hundred seventy-four billion, four hundred seventy-six million, two hundred ninety-one thousand, two hundred".