4687783360 has 224 divisors, whose sum is σ = 12781117440. Its totient is φ = 1623379968.

The previous prime is 4687783351. The next prime is 4687783361. The reversal of 4687783360 is 633877864.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 4687783298 and 4687783307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4687783361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10037847 + ... + 10038313.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^4687783360 is an apocalyptic number.

4687783360 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 4687783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

4687783360 is an abundant number, since it is smaller than the sum of its proper divisors (8093334080).

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

4687783360 is a wasteful number, since it uses less digits than its factorization.

4687783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The square root of 4687783360 is about 68467.3890257252. The cubic root of 4687783360 is about 1673.6160972852.

The spelling of 4687783360 in words is "four billion, six hundred eighty-seven million, seven hundred eighty-three thousand, three hundred sixty".