6440953200 has 240 divisors, whose sum is σ = 23833046016. Its totient is φ = 1469542400.

The previous prime is 6440953199. The next prime is 6440953213. The reversal of 6440953200 is 23590446.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210049 + ... + 238751.

Almost surely, 2^6440953200 is an apocalyptic number.

6440953200 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 6440953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916523008).

6440953200 is an abundant number, since it is smaller than the sum of its proper divisors (17392092816).

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

6440953200 is a wasteful number, since it uses less digits than its factorization.

6440953200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28752 (or 28741 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6440953200 is about 80255.5493408400. The cubic root of 6440953200 is about 1860.5872813099.

The spelling of 6440953200 in words is "six billion, four hundred forty million, nine hundred fifty-three thousand, two hundred".