4781736960 has 704 divisors, whose sum is σ = 20600745984. Its totient is φ = 914227200.

The previous prime is 4781736959. The next prime is 4781736977. The reversal of 4781736960 is 696371874.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15375205 + ... + 15375515.

Almost surely, 2^4781736960 is an apocalyptic number.

4781736960 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 4781736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300372992).

4781736960 is an abundant number, since it is smaller than the sum of its proper divisors (15819009024).

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

4781736960 is a wasteful number, since it uses less digits than its factorization.

4781736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 4781736960 is about 69150.1045552355. The cubic root of 4781736960 is about 1684.7232164601.

The spelling of 4781736960 in words is "four billion, seven hundred eighty-one million, seven hundred thirty-six thousand, nine hundred sixty".