7112448000 has 960 divisors, whose sum is σ = 30918888000. Its totient is φ = 1625702400.

The previous prime is 7112447989. The next prime is 7112448001. The reversal of 7112448000 is 8442117.

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 is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7112448001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1016063997 + ... + 1016064003.

It is an arithmetic number, because the mean of its divisors is an integer number (32207175).

Almost surely, 2^7112448000 is an apocalyptic number.

7112448000 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 7112448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459444000).

7112448000 is an abundant number, since it is smaller than the sum of its proper divisors (23806440000).

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

7112448000 is an frugal number, since it uses more digits than its factorization.

7112448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

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

The square root of 7112448000 is about 84335.3306746348. The cubic root of 7112448000 is about 1923.1199274896.

The spelling of 7112448000 in words is "seven billion, one hundred twelve million, four hundred forty-eight thousand".