4834805760 has 576 divisors, whose sum is σ = 18244699200. Its totient is φ = 1226244096.

The previous prime is 4834805713. The next prime is 4834805777. The reversal of 4834805760 is 675084384.

4834805760 is a `hidden beast` number, since 48 + 34 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 72161247 + ... + 72161313.

It is an arithmetic number, because the mean of its divisors is an integer number (31674825).

Almost surely, 2^4834805760 is an apocalyptic number.

4834805760 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 4834805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122349600).

4834805760 is an abundant number, since it is smaller than the sum of its proper divisors (13409893440).

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

4834805760 is an equidigital number, since it uses as much as digits as its factorization.

4834805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4834805760 is about 69532.7675272601. The cubic root of 4834805760 is about 1690.9327810511.

The spelling of 4834805760 in words is "four billion, eight hundred thirty-four million, eight hundred five thousand, seven hundred sixty".