6874687296 has 112 divisors (see below), whose sum is σ = 20230795200. Its totient is φ = 2289240576.

The previous prime is 6874687289. The next prime is 6874687297. The reversal of 6874687296 is 6927864786.

6874687296 is a `hidden beast` number, since 6 + 87 + 468 + 7 + 2 + 96 = 666.

It is a super-2 number, since 2×6874687296² = 94522650835567583232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6874687297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2976190 + ... + 2978498.

It is an arithmetic number, because the mean of its divisors is an integer number (180632100).

Almost surely, 2^6874687296 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 6874687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10115397600).

6874687296 is an abundant number, since it is smaller than the sum of its proper divisors (13356107904).

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

6874687296 is a wasteful number, since it uses less digits than its factorization.

6874687296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4037 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 6874687296 is about 82913.7340613725. The cubic root of 6874687296 is about 1901.4474008904.

The spelling of 6874687296 in words is "six billion, eight hundred seventy-four million, six hundred eighty-seven thousand, two hundred ninety-six".