6768480725760 has 576 divisors, whose sum is σ = 23611168280448. Its totient is φ = 1642523000832.

The previous prime is 6768480725753. The next prime is 6768480725761. The reversal of 6768480725760 is 675270848676.

It is a junction number, because it is equal to n+sod(n) for n = 6768480725691 and 6768480725700.

It is not an unprimeable number, because it can be changed into a prime (6768480725761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088702172 + ... + 1088708388.

It is an arithmetic number, because the mean of its divisors is an integer number (40991611598).

Almost surely, 2^{6768480725760} is an apocalyptic number.

6768480725760 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 6768480725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805584140224).

6768480725760 is an abundant number, since it is smaller than the sum of its proper divisors (16842687554688).

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

6768480725760 is a wasteful number, since it uses less digits than its factorization.

6768480725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 66.

It can be divided in two parts, 6768 and 480725760, that added together give a triangular number (480732528 = T₃₁₀₀₇).

The spelling of 6768480725760 in words is "six trillion, seven hundred sixty-eight billion, four hundred eighty million, seven hundred twenty-five thousand, seven hundred sixty".