7268085648 has 60 divisors (see below), whose sum is σ = 20347252380. Its totient is φ = 2421896448.

The previous prime is 7268085631. The next prime is 7268085679. The reversal of 7268085648 is 8465808627.

7268085648 is a `hidden beast` number, since 72 + 6 + 8 + 0 + 8 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1154096784 + 6113988864 = 33972^2 + 78192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7268085594 and 7268085603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568090 + ... + 580742.

It is an arithmetic number, because the mean of its divisors is an integer number (339120873).

Almost surely, 2^7268085648 is an apocalyptic number.

It is an amenable number.

7268085648 is an abundant number, since it is smaller than the sum of its proper divisors (13079166732).

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

7268085648 is a wasteful number, since it uses less digits than its factorization.

7268085648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16656 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 7268085648 is about 85253.0682615001. The cubic root of 7268085648 is about 1937.0463474438.

The spelling of 7268085648 in words is "seven billion, two hundred sixty-eight million, eighty-five thousand, six hundred forty-eight".