6746544000 has 1024 divisors, whose sum is σ = 29940019200. Its totient is φ = 1459814400.

The previous prime is 6746543971. The next prime is 6746544019. The reversal of 6746544000 is 4456476.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69551952 + ... + 69552048.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^6746544000 is an apocalyptic number.

6746544000 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 6746544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970009600).

6746544000 is an abundant number, since it is smaller than the sum of its proper divisors (23193475200).

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

6746544000 is a wasteful number, since it uses less digits than its factorization.

6746544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6746544000 is about 82137.3483867114. The cubic root of 6746544000 is about 1889.5589799911.

The spelling of 6746544000 in words is "six billion, seven hundred forty-six million, five hundred forty-four thousand".