4944504960 has 192 divisors, whose sum is σ = 17625404160. Its totient is φ = 1275955200.

The previous prime is 4944504947. The next prime is 4944504977. The reversal of 4944504960 is 694054494.

4944504960 is a `hidden beast` number, since 49 + 44 + 504 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164715 + ... + 192405.

It is an arithmetic number, because the mean of its divisors is an integer number (91798980).

Almost surely, 2^4944504960 is an apocalyptic number.

4944504960 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 4944504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812702080).

4944504960 is an abundant number, since it is smaller than the sum of its proper divisors (12680899200).

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

4944504960 is a wasteful number, since it uses less digits than its factorization.

4944504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27747 (or 27732 counting only the distinct ones).

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

The square root of 4944504960 is about 70317.1740046484. The cubic root of 4944504960 is about 1703.6260503224.

The spelling of 4944504960 in words is "four billion, nine hundred forty-four million, five hundred four thousand, nine hundred sixty".