5006733120 has 504 divisors, whose sum is σ = 18728996832. Its totient is φ = 1272775680.

The previous prime is 5006733113. The next prime is 5006733161. The reversal of 5006733120 is 213376005.

It is a happy number.

5006733120 is a `hidden beast` number, since 500 + 6 + 7 + 33 + 120 = 666.

It is a super-3 number, since 3×5006733120³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74727327 + ... + 74727393.

It is an arithmetic number, because the mean of its divisors is an integer number (37160708).

Almost surely, 2^5006733120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364498416).

5006733120 is an abundant number, since it is smaller than the sum of its proper divisors (13722263712).

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

5006733120 is an equidigital number, since it uses as much as digits as its factorization.

5006733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5006733120 is about 70758.2724492338. The cubic root of 5006733120 is about 1710.7431672769.

The spelling of 5006733120 in words is "five billion, six million, seven hundred thirty-three thousand, one hundred twenty".