4854821760 has 384 divisors, whose sum is σ = 17414092800. Its totient is φ = 1245523968.

The previous prime is 4854821759. The next prime is 4854821771. The reversal of 4854821760 is 671284584.

4854821760 is a `hidden beast` number, since 48 + 548 + 2 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 21386767 + ... + 21386993.

It is an arithmetic number, because the mean of its divisors is an integer number (45349200).

Almost surely, 2^4854821760 is an apocalyptic number.

4854821760 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 4854821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707046400).

4854821760 is an abundant number, since it is smaller than the sum of its proper divisors (12559271040).

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

4854821760 is a wasteful number, since it uses less digits than its factorization.

4854821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4854821760 is about 69676.5510053418. The cubic root of 4854821760 is about 1693.2630443196.

The spelling of 4854821760 in words is "four billion, eight hundred fifty-four million, eight hundred twenty-one thousand, seven hundred sixty".