6729984000 has 576 divisors, whose sum is σ = 25511915520. Its totient is φ = 1703116800.

The previous prime is 6729983993. The next prime is 6729984047. The reversal of 6729984000 is 4899276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 52991937 + ... + 52992063.

It is an arithmetic number, because the mean of its divisors is an integer number (44291520).

Almost surely, 2^6729984000 is an apocalyptic number.

6729984000 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 6729984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755957760).

6729984000 is an abundant number, since it is smaller than the sum of its proper divisors (18781931520).

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

6729984000 is a wasteful number, since it uses less digits than its factorization.

6729984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6729984000 is about 82036.4796904402. The cubic root of 6729984000 is about 1888.0116823944.

The spelling of 6729984000 in words is "six billion, seven hundred twenty-nine million, nine hundred eighty-four thousand".