4662213120 has 320 divisors, whose sum is σ = 17017482240. Its totient is φ = 1208991744.

The previous prime is 4662213107. The next prime is 4662213133. The reversal of 4662213120 is 213122664.

4662213120 is a `hidden beast` number, since 4 + 6 + 622 + 1 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4662213107) and next prime (4662213133).

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2556529 + ... + 2558351.

It is an arithmetic number, because the mean of its divisors is an integer number (53179632).

Almost surely, 2^4662213120 is an apocalyptic number.

4662213120 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 4662213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8508741120).

4662213120 is an abundant number, since it is smaller than the sum of its proper divisors (12355269120).

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

4662213120 is a wasteful number, since it uses less digits than its factorization.

4662213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4662213120 is about 68280.4007018119. The cubic root of 4662213120 is about 1670.5675482617.

Adding to 4662213120 its reverse (213122664), we get a palindrome (4875335784).

The spelling of 4662213120 in words is "four billion, six hundred sixty-two million, two hundred thirteen thousand, one hundred twenty".