4812377472 has 288 divisors, whose sum is σ = 16383154320. Its totient is φ = 1327269888.

The previous prime is 4812377461. The next prime is 4812377477. The reversal of 4812377472 is 2747732184.

4812377472 is a `hidden beast` number, since 481 + 2 + 37 + 74 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4812377472² = 46317953866026221568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812377477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37892673 + ... + 37892799.

Almost surely, 2^4812377472 is an apocalyptic number.

4812377472 is a gapful number since it is divisible by the number (42) 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 4812377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191577160).

4812377472 is an abundant number, since it is smaller than the sum of its proper divisors (11570776848).

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

4812377472 is a wasteful number, since it uses less digits than its factorization.

4812377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 176 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 4812377472 is about 69371.3015014134. The cubic root of 4812377472 is about 1688.3140255672.

The spelling of 4812377472 in words is "four billion, eight hundred twelve million, three hundred seventy-seven thousand, four hundred seventy-two".