7222118400 has 432 divisors, whose sum is σ = 29573107200. Its totient is φ = 1650032640.

The previous prime is 7222118369. The next prime is 7222118447. The reversal of 7222118400 is 48112227.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 3224481 + ... + 3226719.

Almost surely, 2^7222118400 is an apocalyptic number.

7222118400 is a gapful number since it is divisible by the number (70) 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 7222118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786553600).

7222118400 is an abundant number, since it is smaller than the sum of its proper divisors (22350988800).

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

7222118400 is a wasteful number, since it uses less digits than its factorization.

7222118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7222118400 is about 84983.0477212956. The cubic root of 7222118400 is about 1932.9540701415.

The spelling of 7222118400 in words is "seven billion, two hundred twenty-two million, one hundred eighteen thousand, four hundred".