4806120960 has 320 divisors, whose sum is σ = 17630300160. Its totient is φ = 1239736320.

The previous prime is 4806120937. The next prime is 4806120973. The reversal of 4806120960 is 690216084.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×4806120960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141599 + ... + 2143841.

It is an arithmetic number, because the mean of its divisors is an integer number (55094688).

Almost surely, 2^4806120960 is an apocalyptic number.

4806120960 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 4806120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815150080).

4806120960 is an abundant number, since it is smaller than the sum of its proper divisors (12824179200).

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

4806120960 is a wasteful number, since it uses less digits than its factorization.

4806120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4806120960 is about 69326.1924527808. The cubic root of 4806120960 is about 1687.5820562568.

The spelling of 4806120960 in words is "four billion, eight hundred six million, one hundred twenty thousand, nine hundred sixty".