6447955200 has 216 divisors, whose sum is σ = 21801271296. Its totient is φ = 1677312000.

The previous prime is 6447955093. The next prime is 6447955201. The reversal of 6447955200 is 25597446.

It is a super-2 number, since 2×6447955200² = 83152252522414080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6447955201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 783105 + ... + 791295.

Almost surely, 2^6447955200 is an apocalyptic number.

6447955200 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 6447955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900635648).

6447955200 is an abundant number, since it is smaller than the sum of its proper divisors (15353316096).

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

6447955200 is a wasteful number, since it uses less digits than its factorization.

6447955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 6447955200 is about 80299.1606431848. The cubic root of 6447955200 is about 1861.2612557828.

The spelling of 6447955200 in words is "six billion, four hundred forty-seven million, nine hundred fifty-five thousand, two hundred".