6974871768 has 96 divisors (see below), whose sum is σ = 19638964800. Its totient is φ = 2319137568.

The previous prime is 6974871749. The next prime is 6974871781. The reversal of 6974871768 is 8671784796.

6974871768 is a `hidden beast` number, since 6 + 97 + 487 + 1 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810255 + ... + 818817.

It is an arithmetic number, because the mean of its divisors is an integer number (204572550).

Almost surely, 2^6974871768 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 6974871768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819482400).

6974871768 is an abundant number, since it is smaller than the sum of its proper divisors (12664093032).

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

6974871768 is a wasteful number, since it uses less digits than its factorization.

6974871768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003 (or 8987 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The square root of 6974871768 is about 83515.6977340188. The cubic root of 6974871768 is about 1910.6394584122.

The spelling of 6974871768 in words is "six billion, nine hundred seventy-four million, eight hundred seventy-one thousand, seven hundred sixty-eight".