7381120000 has 220 divisors, whose sum is σ = 19440277120. Its totient is φ = 2792448000.

The previous prime is 7381119947. The next prime is 7381120001. The reversal of 7381120000 is 211837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7381120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12159697 + ... + 12160303.

It is an arithmetic number, because the mean of its divisors is an integer number (88364896).

Almost surely, 2^7381120000 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 7381120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720138560).

7381120000 is an abundant number, since it is smaller than the sum of its proper divisors (12059157120).

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

7381120000 is an equidigital number, since it uses as much as digits as its factorization.

7381120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 7381120000 is about 85913.4448151161. Note that the first 3 decimals coincide. The cubic root of 7381120000 is about 1947.0364802717.

Adding to 7381120000 its reverse (211837), we get a palindrome (7381331837).

The spelling of 7381120000 in words is "seven billion, three hundred eighty-one million, one hundred twenty thousand".