5444616960 has 288 divisors, whose sum is σ = 19427647680. Its totient is φ = 1443889152.

The previous prime is 5444616959. The next prime is 5444617001. The reversal of 5444616960 is 696164445.

It is a happy number.

5444616960 is a `hidden beast` number, since 544 + 4 + 6 + 16 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5444616960² = 59287707682239283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8881614 + ... + 8882226.

It is an arithmetic number, because the mean of its divisors is an integer number (67457110).

Almost surely, 2^5444616960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5444616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713823840).

5444616960 is an abundant number, since it is smaller than the sum of its proper divisors (13983030720).

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

5444616960 is a wasteful number, since it uses less digits than its factorization.

5444616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5444616960 is about 73787.6477467604. The cubic root of 5444616960 is about 1759.2292768663.

The spelling of 5444616960 in words is "five billion, four hundred forty-four million, six hundred sixteen thousand, nine hundred sixty".