7506010728 has 24 divisors (see below), whose sum is σ = 20328779250. Its totient is φ = 2502003552.

The previous prime is 7506010709. The next prime is 7506010783. The reversal of 7506010728 is 8270106057.

It can be written as a sum of positive squares in only one way, i.e., 6982607844 + 523402884 = 83562^2 + 22878^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7506010692 and 7506010701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52125003 + ... + 52125146.

Almost surely, 2^7506010728 is an apocalyptic number.

It is an amenable number.

7506010728 is an abundant number, since it is smaller than the sum of its proper divisors (12822768522).

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

7506010728 is a wasteful number, since it uses less digits than its factorization.

7506010728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104250161 (or 104250154 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7506010728 is about 86637.2363825163. The cubic root of 7506010728 is about 1957.9565966097.

The spelling of 7506010728 in words is "seven billion, five hundred six million, ten thousand, seven hundred twenty-eight".