4684665960 has 192 divisors, whose sum is σ = 16778361600. Its totient is φ = 1126282752.

The previous prime is 4684665949. The next prime is 4684666001. The reversal of 4684665960 is 695664864.

4684665960 is a `hidden beast` number, since 4 + 6 + 8 + 46 + 6 + 596 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4684665897 and 4684665906.

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, 189601 + ... + 212879.

It is an arithmetic number, because the mean of its divisors is an integer number (87387300).

Almost surely, 2^4684665960 is an apocalyptic number.

4684665960 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 4684665960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389180800).

4684665960 is an abundant number, since it is smaller than the sum of its proper divisors (12093695640).

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

4684665960 is a wasteful number, since it uses less digits than its factorization.

4684665960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23352 (or 23345 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 4684665960 is about 68444.6196570629. The cubic root of 4684665960 is about 1673.2450272530.

The spelling of 4684665960 in words is "four billion, six hundred eighty-four million, six hundred sixty-five thousand, nine hundred sixty".