4904801760 has 96 divisors (see below), whose sum is σ = 15470717472. Its totient is φ = 1306204160.

The previous prime is 4904801749. The next prime is 4904801761. The reversal of 4904801760 is 671084094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4904801761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376150 + ... + 388970.

It is an arithmetic number, because the mean of its divisors is an integer number (161153307).

Almost surely, 2^4904801760 is an apocalyptic number.

4904801760 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 4904801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735358736).

4904801760 is an abundant number, since it is smaller than the sum of its proper divisors (10565915712).

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

4904801760 is a wasteful number, since it uses less digits than its factorization.

4904801760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4904801760 is about 70034.2898871688. The cubic root of 4904801760 is about 1699.0538864683.

The spelling of 4904801760 in words is "four billion, nine hundred four million, eight hundred one thousand, seven hundred sixty".