6768712860 has 192 divisors, whose sum is σ = 24698483712. Its totient is φ = 1344098304.

The previous prime is 6768712829. The next prime is 6768712871. The reversal of 6768712860 is 682178676.

It is a super-2 number, since 2×6768712860² = 91630947562258759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56359 + ... + 129281.

It is an arithmetic number, because the mean of its divisors is an integer number (128637936).

Almost surely, 2^6768712860 is an apocalyptic number.

6768712860 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 6768712860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349241856).

6768712860 is an abundant number, since it is smaller than the sum of its proper divisors (17929770852).

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

6768712860 is a wasteful number, since it uses less digits than its factorization.

6768712860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72972 (or 72970 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 6768712860 is about 82272.1876456437. The cubic root of 6768712860 is about 1891.6263876312.

The spelling of 6768712860 in words is "six billion, seven hundred sixty-eight million, seven hundred twelve thousand, eight hundred sixty".