7331281920000 has 1120 divisors, whose sum is σ = 27385657659360. Its totient is φ = 1937571840000.

The previous prime is 7331281919981. The next prime is 7331281920023. The reversal of 7331281920000 is 291821337.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25021439854 + ... + 25021440146.

It is an arithmetic number, because the mean of its divisors is an integer number (24451480053).

Almost surely, 2^{7331281920000} 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 7331281920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692828829680).

7331281920000 is an abundant number, since it is smaller than the sum of its proper divisors (20054375739360).

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

7331281920000 is an equidigital number, since it uses as much as digits as its factorization.

7331281920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 7331281920000 in words is "seven trillion, three hundred thirty-one billion, two hundred eighty-one million, nine hundred twenty thousand".