6749425728000 has 480 divisors, whose sum is σ = 24324993435600. Its totient is φ = 1798749388800.

The previous prime is 6749425727971. The next prime is 6749425728037. The reversal of 6749425728000 is 8275249476.

6749425728000 is a `hidden beast` number, since 6 + 7 + 494 + 2 + 5 + 72 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 208680857856 + 6540744870144 = 456816^2 + 2557488^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468221702 + ... + 1468226298.

Almost surely, 2^{6749425728000} is an apocalyptic number.

6749425728000 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 6749425728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162496717800).

6749425728000 is an abundant number, since it is smaller than the sum of its proper divisors (17575567707600).

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

6749425728000 is a wasteful number, since it uses less digits than its factorization.

6749425728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 6749425728000 in words is "six trillion, seven hundred forty-nine billion, four hundred twenty-five million, seven hundred twenty-eight thousand".