7225374355200 has 432 divisors, whose sum is σ = 27889183033600. Its totient is φ = 1825356902400.

The previous prime is 7225374355163. The next prime is 7225374355201. The reversal of 7225374355200 is 25534735227.

It is a happy number.

7225374355200 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 3 + 7 + 435 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-4 number, since 4×7225374355200⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7225374355201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2182845 + ... + 4383555.

Almost surely, 2^{7225374355200} 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 7225374355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944591516800).

7225374355200 is an abundant number, since it is smaller than the sum of its proper divisors (20663808678400).

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

7225374355200 is a wasteful number, since it uses less digits than its factorization.

7225374355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200765 (or 2200740 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 7225374355200 in words is "seven trillion, two hundred twenty-five billion, three hundred seventy-four million, three hundred fifty-five thousand, two hundred".