7446880800 has 378 divisors, whose sum is σ = 27500425407. Its totient is φ = 1968261120.

The previous prime is 7446880789. The next prime is 7446880801. The reversal of 7446880800 is 80886447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 571536 + 7446309264 = 756^2 + 86292^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=61020.

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

It is not an unprimeable number, because it can be changed into a prime (7446880801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 65901544 + ... + 65901656.

Almost surely, 2^7446880800 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 7446880800

7446880800 is an abundant number, since it is smaller than the sum of its proper divisors (20053544607).

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

7446880800 is an equidigital number, since it uses as much as digits as its factorization.

7446880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7446880800 is about 86295.3115760063. The cubic root of 7446880800 is about 1952.8016532835.

The spelling of 7446880800 in words is "seven billion, four hundred forty-six million, eight hundred eighty thousand, eight hundred".