7227329421312 has 2688 divisors, whose sum is σ = 30209224458240. Its totient is φ = 1676928614400.

The previous prime is 7227329421289. The next prime is 7227329421359. The reversal of 7227329421312 is 2131249237227.

7227329421312 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 329 + 4 + 2 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 233139658737 + ... + 233139658767.

Almost surely, 2^{7227329421312} is an apocalyptic number.

7227329421312 is a gapful number since it is divisible by the number (72) 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 7227329421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104612229120).

7227329421312 is an abundant number, since it is smaller than the sum of its proper divisors (22981895036928).

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

7227329421312 is an equidigital number, since it uses as much as digits as its factorization.

7227329421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 7227329421312 in words is "seven trillion, two hundred twenty-seven billion, three hundred twenty-nine million, four hundred twenty-one thousand, three hundred twelve".