4854245760 has 960 divisors, whose sum is σ = 21839060880. Its totient is φ = 1024192512.

The previous prime is 4854245731. The next prime is 4854245783. The reversal of 4854245760 is 675424584.

4854245760 is a `hidden beast` number, since 4 + 8 + 54 + 24 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2730 × 2646 × 672.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 373403514 + ... + 373403526.

Almost surely, 2^4854245760 is an apocalyptic number.

4854245760 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 4854245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919530440).

4854245760 is an abundant number, since it is smaller than the sum of its proper divisors (16984815120).

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

4854245760 is an frugal number, since it uses more digits than its factorization.

4854245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4854245760 is about 69672.4174978879. The cubic root of 4854245760 is about 1693.1960759778.

The spelling of 4854245760 in words is "four billion, eight hundred fifty-four million, two hundred forty-five thousand, seven hundred sixty".