6444900000 has 1152 divisors, whose sum is σ = 30238064640. Its totient is φ = 1296000000.

The previous prime is 6444899977. The next prime is 6444900013. The reversal of 6444900000 is 94446.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207899985 + ... + 207900015.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^6444900000 is an apocalyptic number.

6444900000 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 6444900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

6444900000 is an abundant number, since it is smaller than the sum of its proper divisors (23793164640).

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

6444900000 is a wasteful number, since it uses less digits than its factorization.

6444900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

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

The square root of 6444900000 is about 80280.1345290353. The cubic root of 6444900000 is about 1860.9672388639.

Adding to 6444900000 its reverse (94446), we get a palindrome (6444994446).

The spelling of 6444900000 in words is "six billion, four hundred forty-four million, nine hundred thousand".