6482944000 has 224 divisors, whose sum is σ = 17460870336. Its totient is φ = 2388787200.

The previous prime is 6482943979. The next prime is 6482944007. The reversal of 6482944000 is 4492846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6482944007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13311757 + ... + 13312243.

It is an arithmetic number, because the mean of its divisors is an integer number (77950314).

Almost surely, 2^6482944000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6482944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730435168).

6482944000 is an abundant number, since it is smaller than the sum of its proper divisors (10977926336).

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

6482944000 is an equidigital number, since it uses as much as digits as its factorization.

6482944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 6482944000 is about 80516.7311805441. The cubic root of 6482944000 is about 1864.6217970142.

The spelling of 6482944000 in words is "six billion, four hundred eighty-two million, nine hundred forty-four thousand".