7329213216 has 288 divisors, whose sum is σ = 23792408640. Its totient is φ = 2121541632.

The previous prime is 7329213211. The next prime is 7329213233. The reversal of 7329213216 is 6123129237.

7329213216 is a `hidden beast` number, since 7 + 329 + 2 + 1 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (7329213211) 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 47 ways as a sum of consecutive naturals, for example, 14013531 + ... + 14014053.

It is an arithmetic number, because the mean of its divisors is an integer number (82612530).

Almost surely, 2^7329213216 is an apocalyptic number.

7329213216 is a gapful number since it is divisible by the number (76) 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 7329213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896204320).

7329213216 is an abundant number, since it is smaller than the sum of its proper divisors (16463195424).

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

7329213216 is a wasteful number, since it uses less digits than its factorization.

7329213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 757 counting only the distinct ones).

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

The square root of 7329213216 is about 85610.8241754511. The cubic root of 7329213216 is about 1942.4616443185.

The spelling of 7329213216 in words is "seven billion, three hundred twenty-nine million, two hundred thirteen thousand, two hundred sixteen".