6746328388800 has 10080 divisors, whose sum is σ = 39413832353280. Its totient is φ = 1103619686400.

The previous prime is 6746328388753. The next prime is 6746328388801. The reversal of 6746328388800 is 88838236476.

6746328388800 is a `hidden beast` number, since 67 + 463 + 2 + 8 + 38 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6746328388801) by changing a digit.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 293318625589 + ... + 293318625611.

It is an arithmetic number, because the mean of its divisors is an integer number (3910102416).

6746328388800 is a highly composite number, because it has more divisors than any smaller number.

6746328388800 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^{6746328388800} is an apocalyptic number.

6746328388800 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 6746328388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19706916176640).

6746328388800 is an abundant number, since it is smaller than the sum of its proper divisors (32667503964480).

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

6746328388800 is a wasteful number, since it uses less digits than its factorization.

6746328388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 6746328388800 in words is "six trillion, seven hundred forty-six billion, three hundred twenty-eight million, three hundred eighty-eight thousand, eight hundred".