7324121216 has 128 divisors (see below), whose sum is σ = 16046640000. Its totient is φ = 3316432896.

The previous prime is 7324121209. The next prime is 7324121261. The reversal of 7324121216 is 6121214237.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7324121216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7969205 + ... + 7970123.

It is an arithmetic number, because the mean of its divisors is an integer number (125364375).

Almost surely, 2^7324121216 is an apocalyptic number.

7324121216 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 7324121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023320000).

7324121216 is an abundant number, since it is smaller than the sum of its proper divisors (8722518784).

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

7324121216 is a wasteful number, since it uses less digits than its factorization.

7324121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 7324121216 is about 85581.0797781846. The cubic root of 7324121216 is about 1942.0116957864.

The spelling of 7324121216 in words is "seven billion, three hundred twenty-four million, one hundred twenty-one thousand, two hundred sixteen".