7225557120 has 384 divisors, whose sum is σ = 26560310400. Its totient is φ = 1804861440.

The previous prime is 7225557113. The next prime is 7225557121. The reversal of 7225557120 is 217555227.

7225557120 is a `hidden beast` number, since 72 + 25 + 557 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (7225557121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11272000 + ... + 11272640.

It is an arithmetic number, because the mean of its divisors is an integer number (69167475).

Almost surely, 2^7225557120 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 7225557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280155200).

7225557120 is an abundant number, since it is smaller than the sum of its proper divisors (19334753280).

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

7225557120 is a wasteful number, since it uses less digits than its factorization.

7225557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 7225557120 is about 85003.2771132972. The cubic root of 7225557120 is about 1933.2608053119.

The spelling of 7225557120 in words is "seven billion, two hundred twenty-five million, five hundred fifty-seven thousand, one hundred twenty".