6874094821776 has 960 divisors, whose sum is σ = 24893014245120. Its totient is φ = 1610095656960.

The previous prime is 6874094821747. The next prime is 6874094821829. The reversal of 6874094821776 is 6771284904786.

It is a self number, because there is not a number n which added to its sum of digits gives 6874094821776.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2775168250 + ... + 2775170726.

It is an arithmetic number, because the mean of its divisors is an integer number (25930223172).

Almost surely, 2^{6874094821776} 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 6874094821776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446507122560).

6874094821776 is an abundant number, since it is smaller than the sum of its proper divisors (18018919423344).

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

6874094821776 is a wasteful number, since it uses less digits than its factorization.

6874094821776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 69.

The spelling of 6874094821776 in words is "six trillion, eight hundred seventy-four billion, ninety-four million, eight hundred twenty-one thousand, seven hundred seventy-six".