6746928000 has 256 divisors, whose sum is σ = 22485565440. Its totient is φ = 1789593600.

The previous prime is 6746927963. The next prime is 6746928007. The reversal of 6746928000 is 8296476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746928007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17615809 + ... + 17616191.

It is an arithmetic number, because the mean of its divisors is an integer number (87834240).

Almost surely, 2^6746928000 is an apocalyptic number.

6746928000 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 6746928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242782720).

6746928000 is an abundant number, since it is smaller than the sum of its proper divisors (15738637440).

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

6746928000 is a wasteful number, since it uses less digits than its factorization.

6746928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6746928000 is about 82139.6859015178. The cubic root of 6746928000 is about 1889.5948293031.

The spelling of 6746928000 in words is "six billion, seven hundred forty-six million, nine hundred twenty-eight thousand".