7568478009 has 27 divisors (see below), whose sum is σ = 11187928687. Its totient is φ = 4930293984.

The previous prime is 7568477947. The next prime is 7568478011. The reversal of 7568478009 is 9008748657.

The square root of 7568478009 is 86997.

It is a perfect power (a square), and thus also a powerful number.

7568478009 is a `hidden beast` number, since 7 + 568 + 4 + 78 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219188025 + 7349289984 = 14805^2 + 85728^2 .

It is not a de Polignac number, because 7568478009 - 2⁷ = 7568477881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7568478079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12266269 + ... + 12266885.

Almost surely, 2^7568478009 is an apocalyptic number.

7568478009 is the 86997-th square number.

7568478009 is the 43499-th centered octagonal number.

It is an amenable number.

7568478009 is a deficient number, since it is larger than the sum of its proper divisors (3619450678).

7568478009 is an frugal number, since it uses more digits than its factorization.

7568478009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The cubic root of 7568478009 is about 1963.3731662593.

The spelling of 7568478009 in words is "seven billion, five hundred sixty-eight million, four hundred seventy-eight thousand, nine".