4764012120 has 768 divisors, whose sum is σ = 19948032000. Its totient is φ = 961486848.

The previous prime is 4764012089. The next prime is 4764012131. The reversal of 4764012120 is 212104674.

4764012120 is a `hidden beast` number, since 4 + 7 + 640 + 1 + 2 + 12 + 0 = 666.

It is a super-2 number, since 2×4764012120² = 45391622959013788800, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65260404 + ... + 65260476.

It is an arithmetic number, because the mean of its divisors is an integer number (25974000).

Almost surely, 2^4764012120 is an apocalyptic number.

4764012120 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 4764012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974016000).

4764012120 is an abundant number, since it is smaller than the sum of its proper divisors (15184019880).

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

4764012120 is a wasteful number, since it uses less digits than its factorization.

4764012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4764012120 is about 69021.8235053233. The cubic root of 4764012120 is about 1682.6390071397.

Adding to 4764012120 its reverse (212104674), we get a palindrome (4976116794).

The spelling of 4764012120 in words is "four billion, seven hundred sixty-four million, twelve thousand, one hundred twenty".