7057128960 has 960 divisors, whose sum is σ = 30640896000. Its totient is φ = 1495646208.

The previous prime is 7057128959. The next prime is 7057128971. The reversal of 7057128960 is 698217507.

7057128960 is a `hidden beast` number, since 70 + 571 + 2 + 8 + 9 + 6 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 150151657 + ... + 150151703.

It is an arithmetic number, because the mean of its divisors is an integer number (31917600).

Almost surely, 2^7057128960 is an apocalyptic number.

7057128960 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 7057128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448000).

7057128960 is an abundant number, since it is smaller than the sum of its proper divisors (23583767040).

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

7057128960 is a wasteful number, since it uses less digits than its factorization.

7057128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 7057128960 is about 84006.7197312215. The cubic root of 7057128960 is about 1918.1210785447.

The spelling of 7057128960 in words is "seven billion, fifty-seven million, one hundred twenty-eight thousand, nine hundred sixty".