4663440000 has 640 divisors, whose sum is σ = 18354124800. Its totient is φ = 1161216000.

The previous prime is 4663439981. The next prime is 4663440029. The reversal of 4663440000 is 443664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36719937 + ... + 36720063.

It is an arithmetic number, because the mean of its divisors is an integer number (28678320).

Almost surely, 2^4663440000 is an apocalyptic number.

4663440000 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 4663440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177062400).

4663440000 is an abundant number, since it is smaller than the sum of its proper divisors (13690684800).

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

4663440000 is a wasteful number, since it uses less digits than its factorization.

4663440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4663440000 is about 68289.3842408906. The cubic root of 4663440000 is about 1670.7140742499.

Adding to 4663440000 its reverse (443664), we get a palindrome (4663883664).

The spelling of 4663440000 in words is "four billion, six hundred sixty-three million, four hundred forty thousand".