4620165120 has 336 divisors, whose sum is σ = 16315895232. Its totient is φ = 1209139200.

The previous prime is 4620165119. The next prime is 4620165133. The reversal of 4620165120 is 215610264.

4620165120 is a `hidden beast` number, since 4 + 6 + 2 + 0 + 1 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×4620165120² = 42691851472129228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30597045 + ... + 30597195.

It is an arithmetic number, because the mean of its divisors is an integer number (48559212).

Almost surely, 2^4620165120 is an apocalyptic number.

4620165120 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 4620165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157947616).

4620165120 is an abundant number, since it is smaller than the sum of its proper divisors (11695730112).

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

4620165120 is a wasteful number, since it uses less digits than its factorization.

4620165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4620165120 is about 67971.7965041384. The cubic root of 4620165120 is about 1665.5301506861.

Adding to 4620165120 its reverse (215610264), we get a palindrome (4835775384).

The spelling of 4620165120 in words is "four billion, six hundred twenty million, one hundred sixty-five thousand, one hundred twenty".