6874106904 has 512 divisors, whose sum is σ = 23869440000. Its totient is φ = 1828915200.

The previous prime is 6874106887. The next prime is 6874106923. The reversal of 6874106904 is 4096014786.

It is a self number, because there is not a number n which added to its sum of digits gives 6874106904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94165812 + ... + 94165884.

It is an arithmetic number, because the mean of its divisors is an integer number (46620000).

Almost surely, 2^6874106904 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 6874106904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934720000).

6874106904 is an abundant number, since it is smaller than the sum of its proper divisors (16995333096).

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

6874106904 is a wasteful number, since it uses less digits than its factorization.

6874106904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6874106904 is about 82910.2340124547. The cubic root of 6874106904 is about 1901.3938898059.

The spelling of 6874106904 in words is "six billion, eight hundred seventy-four million, one hundred six thousand, nine hundred four".