6756317568 has 1152 divisors, whose sum is σ = 28443018240. Its totient is φ = 1567641600.

The previous prime is 6756317443. The next prime is 6756317569. The reversal of 6756317568 is 8657136576.

6756317568 is a `hidden beast` number, since 6 + 7 + 5 + 63 + 17 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6350400) is a multiple of the sum of its prime factors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6756317569) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217945713 + ... + 217945743.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 2^6756317568 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 6756317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221509120).

6756317568 is an abundant number, since it is smaller than the sum of its proper divisors (21686700672).

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

6756317568 is a wasteful number, since it uses less digits than its factorization.

6756317568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 6756317568 is about 82196.8221283524. The cubic root of 6756317568 is about 1890.4709937283.

The spelling of 6756317568 in words is "six billion, seven hundred fifty-six million, three hundred seventeen thousand, five hundred sixty-eight".