6449040000 has 720 divisors, whose sum is σ = 25584646230. Its totient is φ = 1557504000.

The previous prime is 6449039953. The next prime is 6449040011. The reversal of 6449040000 is 409446.

It can be written as a sum of positive squares in 15 ways, for example, as 4283440704 + 2165599296 = 65448^2 + 46536^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 121679974 + ... + 121680026.

Almost surely, 2^6449040000 is an apocalyptic number.

6449040000 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 6449040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792323115).

6449040000 is an abundant number, since it is smaller than the sum of its proper divisors (19135606230).

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

6449040000 is a wasteful number, since it uses less digits than its factorization.

6449040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6449040000 is about 80305.9150996986. The cubic root of 6449040000 is about 1861.3656290778.

Adding to 6449040000 its reverse (409446), we get a palindrome (6449449446).

The spelling of 6449040000 in words is "six billion, four hundred forty-nine million, forty thousand".