8441664000 has 640 divisors, whose sum is σ = 35053185024. Its totient is φ = 1751040000.

The previous prime is 8441663977. The next prime is 8441664037. The reversal of 8441664000 is 4661448.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14783715 + ... + 14784285.

Almost surely, 2^8441664000 is an apocalyptic number.

8441664000 is a gapful number since it is divisible by the number (80) 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 8441664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526592512).

8441664000 is an abundant number, since it is smaller than the sum of its proper divisors (26611521024).

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

8441664000 is a wasteful number, since it uses less digits than its factorization.

8441664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8441664000 is about 91878.5285036716. The cubic root of 8441664000 is about 2036.1480561827.

The spelling of 8441664000 in words is "eight billion, four hundred forty-one million, six hundred sixty-four thousand".