4733006720 has 256 divisors, whose sum is σ = 13062772800. Its totient is φ = 1624375296.

The previous prime is 4733006717. The next prime is 4733006731. The reversal of 4733006720 is 276003374.

It is a super-3 number, since 3×4733006720³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 15416807 + ... + 15417113.

Almost surely, 2^4733006720 is an apocalyptic number.

4733006720 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 4733006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531386400).

4733006720 is an abundant number, since it is smaller than the sum of its proper divisors (8329766080).

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

4733006720 is a wasteful number, since it uses less digits than its factorization.

4733006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 4733006720 is about 68796.8510907294. The cubic root of 4733006720 is about 1678.9807120135.

The spelling of 4733006720 in words is "four billion, seven hundred thirty-three million, six thousand, seven hundred twenty".