4665600000000 has 945 divisors, whose sum is σ = 17487457355011. Its totient is φ = 1244160000000.

The previous prime is 4665599999941. The next prime is 4665600000011. The reversal of 4665600000000 is 65664.

The square root of 4665600000000 is 2160000.

It is a perfect power (a square), and thus also a powerful number.

4665600000000 is a `hidden beast` number, since 4 + 6 + 656 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3317177401344 + 1348422598656 = 1821312^2 + 1161216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4665600000000.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 933119999998 + ... + 933120000002.

Almost surely, 2^{4665600000000} is an apocalyptic number.

4665600000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4665600000000 is the 2160000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4665600000000

4665600000000 is an abundant number, since it is smaller than the sum of its proper divisors (12821857355011).

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

4665600000000 is an frugal number, since it uses more digits than its factorization.

4665600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 4665600000000 its reverse (65664), we get a palindrome (4665600065664).

The spelling of 4665600000000 in words is "four trillion, six hundred sixty-five billion, six hundred million", and thus it is an aban number.