6885360768 has 192 divisors, whose sum is σ = 21651336000. Its totient is φ = 1925806080.

The previous prime is 6885360749. The next prime is 6885360817. The reversal of 6885360768 is 8670635886.

It is a happy number.

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

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, 598333 + ... + 609731.

It is an arithmetic number, because the mean of its divisors is an integer number (112767375).

Almost surely, 2^6885360768 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 6885360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10825668000).

6885360768 is an abundant number, since it is smaller than the sum of its proper divisors (14765975232).

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

6885360768 is a wasteful number, since it uses less digits than its factorization.

6885360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The square root of 6885360768 is about 82978.0740195866. The cubic root of 6885360768 is about 1902.4309390292.

It can be divided in two parts, 6885 and 360768, that added together give a triangular number (367653 = T₈₅₇).

The spelling of 6885360768 in words is "six billion, eight hundred eighty-five million, three hundred sixty thousand, seven hundred sixty-eight".