7217320029696 has 1080 divisors, whose sum is σ = 25409571038280. Its totient is φ = 2041821831168.

The previous prime is 7217320029653. The next prime is 7217320029709. The reversal of 7217320029696 is 6969200237127.

7217320029696 is a `hidden beast` number, since 7 + 21 + 7 + 320 + 0 + 296 + 9 + 6 = 666.

It is a super-2 number, since 2×7217320029696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26830185850 + ... + 26830186118.

It is an arithmetic number, because the mean of its divisors is an integer number (23527380591).

Almost surely, 2^{7217320029696} 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 7217320029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704785519140).

7217320029696 is an abundant number, since it is smaller than the sum of its proper divisors (18192251008584).

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

7217320029696 is an frugal number, since it uses more digits than its factorization.

7217320029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 7217320029696 in words is "seven trillion, two hundred seventeen billion, three hundred twenty million, twenty-nine thousand, six hundred ninety-six".