7197845094400 has 225 divisors, whose sum is σ = 17987960033773. Its totient is φ = 2857159884800.

The previous prime is 7197845094373. The next prime is 7197845094413. The reversal of 7197845094400 is 44905487917.

The square root of 7197845094400 is 2682880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2591224233984 + 4606620860416 = 1609728^2 + 2146304^2 .

It is a super-2 number, since 2×7197845094400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54945382335 + ... + 54945382465.

Almost surely, 2^{7197845094400} is an apocalyptic number.

7197845094400 is the 2682880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7197845094400

7197845094400 is an abundant number, since it is smaller than the sum of its proper divisors (10790114939373).

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

7197845094400 is an frugal number, since it uses more digits than its factorization.

7197845094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 7197845094400 in words is "seven trillion, one hundred ninety-seven billion, eight hundred forty-five million, ninety-four thousand, four hundred".