4665657680 has 40 divisors (see below), whose sum is σ = 10969554600. Its totient is φ = 1845291008.

The previous prime is 4665657677. The next prime is 4665657713. The reversal of 4665657680 is 867565664.

It can be written as a sum of positive squares in 4 ways, for example, as 148742416 + 4516915264 = 12196^2 + 67208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320525 + ... + 334764.

It is an arithmetic number, because the mean of its divisors is an integer number (274238865).

Almost surely, 2^4665657680 is an apocalyptic number.

4665657680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4665657680 is an abundant number, since it is smaller than the sum of its proper divisors (6303896920).

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

4665657680 is a wasteful number, since it uses less digits than its factorization.

4665657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655391 (or 655385 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The square root of 4665657680 is about 68305.6196809604. The cubic root of 4665657680 is about 1670.9788660507.

The spelling of 4665657680 in words is "four billion, six hundred sixty-five million, six hundred fifty-seven thousand, six hundred eighty".