4663260120 has 256 divisors, whose sum is σ = 15116544000. Its totient is φ = 1148026880.

The previous prime is 4663260103. The next prime is 4663260137. The reversal of 4663260120 is 210623664.

It is an interprime number because it is at equal distance from previous prime (4663260103) and next prime (4663260137).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10385656 + ... + 10386104.

It is an arithmetic number, because the mean of its divisors is an integer number (59049000).

Almost surely, 2^4663260120 is an apocalyptic number.

4663260120 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 4663260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558272000).

4663260120 is an abundant number, since it is smaller than the sum of its proper divisors (10453283880).

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

4663260120 is a wasteful number, since it uses less digits than its factorization.

4663260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4663260120 is about 68288.0671860026. The cubic root of 4663260120 is about 1670.6925928319.

Adding to 4663260120 its reverse (210623664), we get a palindrome (4873883784).

The spelling of 4663260120 in words is "four billion, six hundred sixty-three million, two hundred sixty thousand, one hundred twenty".