6672893581440 has 1280 divisors, whose sum is σ = 24990950476800. Its totient is φ = 1695561154560.

The previous prime is 6672893581439. The next prime is 6672893581489. The reversal of 6672893581440 is 441853982766.

6672893581440 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 8 + 9 + 3 + 581 + 4 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15410839464 + ... + 15410839896.

It is an arithmetic number, because the mean of its divisors is an integer number (19524180060).

It is a 1-persistent number, because it is pandigital, but 2⋅6672893581440 = 13345787162880 is not.

Almost surely, 2^{6672893581440} is an apocalyptic number.

6672893581440 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 6672893581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495475238400).

6672893581440 is an abundant number, since it is smaller than the sum of its proper divisors (18318056895360).

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

6672893581440 is a wasteful number, since it uses less digits than its factorization.

6672893581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6672893581440 in words is "six trillion, six hundred seventy-two billion, eight hundred ninety-three million, five hundred eighty-one thousand, four hundred forty".