6750945648000 has 1920 divisors, whose sum is σ = 26937407296800. Its totient is φ = 1674589593600.

The previous prime is 6750945647983. The next prime is 6750945648001. The reversal of 6750945648000 is 8465490576.

6750945648000 is a `hidden beast` number, since 6 + 7 + 509 + 4 + 56 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6750945648001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29480111886 + ... + 29480112114.

Almost surely, 2^{6750945648000} is an apocalyptic number.

6750945648000 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 6750945648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468703648400).

6750945648000 is an abundant number, since it is smaller than the sum of its proper divisors (20186461648800).

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

6750945648000 is a wasteful number, since it uses less digits than its factorization.

6750945648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6750945648000 in words is "six trillion, seven hundred fifty billion, nine hundred forty-five million, six hundred forty-eight thousand".