6730444800 has 468 divisors, whose sum is σ = 24691278040. Its totient is φ = 1751777280.

The previous prime is 6730444783. The next prime is 6730444901. The reversal of 6730444800 is 84440376.

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 35 ways as a sum of consecutive naturals, for example, 61747146 + ... + 61747254.

Almost surely, 2^6730444800 is an apocalyptic number.

6730444800 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 6730444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345639020).

6730444800 is an abundant number, since it is smaller than the sum of its proper divisors (17960833240).

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

6730444800 is a wasteful number, since it uses less digits than its factorization.

6730444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6730444800 is about 82039.2881490326. The cubic root of 6730444800 is about 1888.0547719435.

The spelling of 6730444800 in words is "six billion, seven hundred thirty million, four hundred forty-four thousand, eight hundred".