4660000000 has 144 divisors (see below), whose sum is σ = 11677118544. Its totient is φ = 1856000000.

The previous prime is 4659999979. The next prime is 4660000043. The reversal of 4660000000 is 664.

It can be written as a sum of positive squares in 8 ways, for example, as 2928108544 + 1731891456 = 54112^2 + 41616^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 19999884 + ... + 20000116.

It is an arithmetic number, because the mean of its divisors is an integer number (81091101).

Almost surely, 2^4660000000 is an apocalyptic number.

4660000000 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 4660000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838559272).

4660000000 is an abundant number, since it is smaller than the sum of its proper divisors (7017118544).

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

4660000000 is an frugal number, since it uses more digits than its factorization.

4660000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4660000000 is about 68264.1926635040. The cubic root of 4660000000 is about 1670.3031708428.

Adding to 4660000000 its reverse (664), we get a palindrome (4660000664).

The spelling of 4660000000 in words is "four billion, six hundred sixty million", and thus it is an aban number.