4426664000 has 336 divisors, whose sum is σ = 12806080560. Its totient is φ = 1509376000.

The previous prime is 4426663961. The next prime is 4426664041. The reversal of 4426664000 is 4666244.

It can be written as a sum of positive squares in 8 ways, for example, as 1928263744 + 2498400256 = 43912^2 + 49984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 16455866 + ... + 16456134.

It is an arithmetic number, because the mean of its divisors is an integer number (38113335).

Almost surely, 2^4426664000 is an apocalyptic number.

4426664000 is a gapful number since it is divisible by the number (40) 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 4426664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403040280).

4426664000 is an abundant number, since it is smaller than the sum of its proper divisors (8379416560).

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

4426664000 is a wasteful number, since it uses less digits than its factorization.

4426664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4426664000 is about 66533.1796925414. The cubic root of 4426664000 is about 1641.9459352376.

The spelling of 4426664000 in words is "four billion, four hundred twenty-six million, six hundred sixty-four thousand".