6768286560 has 768 divisors, whose sum is σ = 28531077120. Its totient is φ = 1466449920.

The previous prime is 6768286523. The next prime is 6768286561. The reversal of 6768286560 is 656828676.

6768286560 is a `hidden beast` number, since 6 + 76 + 8 + 2 + 8 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6768286497 and 6768286506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768286561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65711469 + ... + 65711571.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 2^6768286560 is an apocalyptic number.

6768286560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6768286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

6768286560 is an abundant number, since it is smaller than the sum of its proper divisors (21762790560).

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

6768286560 is a wasteful number, since it uses less digits than its factorization.

6768286560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 6768286560 is about 82269.5968143761. The cubic root of 6768286560 is about 1891.5866746521.

The spelling of 6768286560 in words is "six billion, seven hundred sixty-eight million, two hundred eighty-six thousand, five hundred sixty".