6748407768960 has 1280 divisors, whose sum is σ = 29979063576000. Its totient is φ = 1421275299840.

The previous prime is 6748407768937. The next prime is 6748407769009. The reversal of 6748407768960 is 698677048476.

It is a happy number.

6748407768960 is a `hidden beast` number, since 6 + 7 + 484 + 0 + 7 + 7 + 6 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125996266 + ... + 126049814.

Almost surely, 2^{6748407768960} is an apocalyptic number.

6748407768960 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 6748407768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989531788000).

6748407768960 is an abundant number, since it is smaller than the sum of its proper divisors (23230655807040).

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

6748407768960 is a wasteful number, since it uses less digits than its factorization.

6748407768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53621 (or 53600 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 6748407768960 in words is "six trillion, seven hundred forty-eight billion, four hundred seven million, seven hundred sixty-eight thousand, nine hundred sixty".