6868166760 has 288 divisors, whose sum is σ = 27625328640. Its totient is φ = 1449017856.

The previous prime is 6868166743. The next prime is 6868166779. The reversal of 6868166760 is 676618686.

It is a junction number, because it is equal to n+sod(n) for n = 6868166697 and 6868166706.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 417817 + ... + 433943.

It is an arithmetic number, because the mean of its divisors is an integer number (95921280).

Almost surely, 2^6868166760 is an apocalyptic number.

6868166760 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 6868166760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812664320).

6868166760 is an abundant number, since it is smaller than the sum of its proper divisors (20757161880).

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

6868166760 is a wasteful number, since it uses less digits than its factorization.

6868166760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16177 (or 16157 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6868166760 is about 82874.4035272653. The cubic root of 6868166760 is about 1900.8460461097.

The spelling of 6868166760 in words is "six billion, eight hundred sixty-eight million, one hundred sixty-six thousand, seven hundred sixty".