7089048960 has 1024 divisors, whose sum is σ = 30457036800. Its totient is φ = 1362493440.

The previous prime is 7089048959. The next prime is 7089048961. The reversal of 7089048960 is 698409807.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7089048959) and next prime (7089048961).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7089048961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99845725 + ... + 99845795.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 2^7089048960 is an apocalyptic number.

7089048960 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 7089048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228518400).

7089048960 is an abundant number, since it is smaller than the sum of its proper divisors (23367987840).

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

7089048960 is a wasteful number, since it uses less digits than its factorization.

7089048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 7089048960 is about 84196.4901881308. The cubic root of 7089048960 is about 1921.0086713909.

The spelling of 7089048960 in words is "seven billion, eighty-nine million, forty-eight thousand, nine hundred sixty".