6444051600 has 240 divisors, whose sum is σ = 23664771072. Its totient is φ = 1468346880.

The previous prime is 6444051577. The next prime is 6444051697. The reversal of 6444051600 is 61504446.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3216199 + ... + 3218201.

Almost surely, 2^6444051600 is an apocalyptic number.

6444051600 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 6444051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832385536).

6444051600 is an abundant number, since it is smaller than the sum of its proper divisors (17220719472).

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

6444051600 is a wasteful number, since it uses less digits than its factorization.

6444051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6444051600 is about 80274.8503580044. The cubic root of 6444051600 is about 1860.8855766767.

The spelling of 6444051600 in words is "six billion, four hundred forty-four million, fifty-one thousand, six hundred".