7170048000 has 360 divisors, whose sum is σ = 25916075640. Its totient is φ = 1907097600.

The previous prime is 7170047987. The next prime is 7170048121. The reversal of 7170048000 is 8400717.

It can be written as a sum of positive squares in 4 ways, for example, as 851705856 + 6318342144 = 29184^2 + 79488^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431806 + ... + 18432194.

It is an arithmetic number, because the mean of its divisors is an integer number (71989099).

Almost surely, 2^7170048000 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 7170048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958037820).

7170048000 is an abundant number, since it is smaller than the sum of its proper divisors (18746027640).

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

7170048000 is an equidigital number, since it uses as much as digits as its factorization.

7170048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7170048000 is about 84676.1359534078. The cubic root of 7170048000 is about 1928.2974237412.

Adding to 7170048000 its reverse (8400717), we get a palindrome (7178448717).

The spelling of 7170048000 in words is "seven billion, one hundred seventy million, forty-eight thousand".