6891504768 has 192 divisors, whose sum is σ = 20285811000. Its totient is φ = 2245017600.

The previous prime is 6891504751. The next prime is 6891504791. The reversal of 6891504768 is 8674051986.

6891504768 is a `hidden beast` number, since 68 + 9 + 1 + 504 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5404014144 + 1487490624 = 73512^2 + 38568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 19746258 + ... + 19746606.

Almost surely, 2^6891504768 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 6891504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142905500).

6891504768 is an abundant number, since it is smaller than the sum of its proper divisors (13394306232).

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

6891504768 is a wasteful number, since it uses less digits than its factorization.

6891504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6891504768 is about 83015.0875925575. The cubic root of 6891504768 is about 1902.9966349134.

The spelling of 6891504768 in words is "six billion, eight hundred ninety-one million, five hundred four thousand, seven hundred sixty-eight".