6730629120 has 480 divisors, whose sum is σ = 25479619200. Its totient is φ = 1679818752.

The previous prime is 6730629107. The next prime is 6730629181. The reversal of 6730629120 is 219260376.

6730629120 is a `hidden beast` number, since 6 + 7 + 3 + 0 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37601191 + ... + 37601369.

It is an arithmetic number, because the mean of its divisors is an integer number (53082540).

Almost surely, 2^6730629120 is an apocalyptic number.

6730629120 is a gapful number since it is divisible by the number (60) 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 6730629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739809600).

6730629120 is an abundant number, since it is smaller than the sum of its proper divisors (18748990080).

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

6730629120 is a wasteful number, since it uses less digits than its factorization.

6730629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6730629120 is about 82040.4115055501. The cubic root of 6730629120 is about 1888.0720072125.

Adding to 6730629120 its reverse (219260376), we get a palindrome (6949889496).

The spelling of 6730629120 in words is "six billion, seven hundred thirty million, six hundred twenty-nine thousand, one hundred twenty".