4689640960 has 160 divisors (see below), whose sum is σ = 11645013600. Its totient is φ = 1810268160.

The previous prime is 4689640957. The next prime is 4689640973. The reversal of 4689640960 is 690469864.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 4689640898 and 4689640907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9213186 + ... + 9213694.

It is an arithmetic number, because the mean of its divisors is an integer number (72781335).

Almost surely, 2^4689640960 is an apocalyptic number.

4689640960 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 4689640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822506800).

4689640960 is an abundant number, since it is smaller than the sum of its proper divisors (6955372640).

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

4689640960 is an equidigital number, since it uses as much as digits as its factorization.

4689640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The square root of 4689640960 is about 68480.9532643932. The cubic root of 4689640960 is about 1673.8371327202.

The spelling of 4689640960 in words is "four billion, six hundred eighty-nine million, six hundred forty thousand, nine hundred sixty".