6244896000 has 288 divisors, whose sum is σ = 23708176128. Its totient is φ = 1427251200.

The previous prime is 6244895971. The next prime is 6244896061. The reversal of 6244896000 is 6984426.

It is a self number, because there is not a number n which added to its sum of digits gives 6244896000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667354 + ... + 676646.

It is an arithmetic number, because the mean of its divisors is an integer number (82320056).

Almost surely, 2^6244896000 is an apocalyptic number.

6244896000 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 6244896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854088064).

6244896000 is an abundant number, since it is smaller than the sum of its proper divisors (17463280128).

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

6244896000 is an equidigital number, since it uses as much as digits as its factorization.

6244896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 6244896000 is about 79024.6543807690. The cubic root of 6244896000 is about 1841.5141915175.

The spelling of 6244896000 in words is "six billion, two hundred forty-four million, eight hundred ninety-six thousand".