7126561728 has 336 divisors, whose sum is σ = 24781166592. Its totient is φ = 1928448000.

The previous prime is 7126561727. The next prime is 7126561777. The reversal of 7126561728 is 8271656217.

7126561728 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 5 + 617 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126561727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552013 + ... + 2554803.

It is an arithmetic number, because the mean of its divisors is an integer number (73753472).

Almost surely, 2^7126561728 is an apocalyptic number.

7126561728 is a gapful number since it is divisible by the number (78) 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 7126561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390583296).

7126561728 is an abundant number, since it is smaller than the sum of its proper divisors (17654604864).

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

7126561728 is a wasteful number, since it uses less digits than its factorization.

7126561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2851 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 7126561728 is about 84418.9654520831. The cubic root of 7126561728 is about 1924.3911474605.

The spelling of 7126561728 in words is "seven billion, one hundred twenty-six million, five hundred sixty-one thousand, seven hundred twenty-eight".