4787465760 has 288 divisors, whose sum is σ = 20368962432. Its totient is φ = 994775040.

The previous prime is 4787465741. The next prime is 4787465791. The reversal of 4787465760 is 675647874.

4787465760 is a `hidden beast` number, since 47 + 87 + 465 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4787465697 and 4787465706.

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, 89292 + ... + 132468.

It is an arithmetic number, because the mean of its divisors is an integer number (70725564).

Almost surely, 2^4787465760 is an apocalyptic number.

4787465760 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 4787465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184481216).

4787465760 is an abundant number, since it is smaller than the sum of its proper divisors (15581496672).

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

4787465760 is a wasteful number, since it uses less digits than its factorization.

4787465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43216 (or 43205 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 4787465760 is about 69191.5150867503. The cubic root of 4787465760 is about 1685.3957468730.

The spelling of 4787465760 in words is "four billion, seven hundred eighty-seven million, four hundred sixty-five thousand, seven hundred sixty".