4787663760 has 560 divisors, whose sum is σ = 19321441920. Its totient is φ = 1089884160.

The previous prime is 4787663723. The next prime is 4787663779. The reversal of 4787663760 is 673667874.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4787663697 and 4787663706.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10905621 + ... + 10906059.

Almost surely, 2^4787663760 is an apocalyptic number.

4787663760 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 4787663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660720960).

4787663760 is an abundant number, since it is smaller than the sum of its proper divisors (14533778160).

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

4787663760 is a wasteful number, since it uses less digits than its factorization.

4787663760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The square root of 4787663760 is about 69192.9458832329. The cubic root of 4787663760 is about 1685.4189814174.

The spelling of 4787663760 in words is "four billion, seven hundred eighty-seven million, six hundred sixty-three thousand, seven hundred sixty".