7248668427 has 128 divisors (see below), whose sum is σ = 14637342720. Its totient is φ = 3423150720.

The previous prime is 7248668419. The next prime is 7248668489.

It is a happy number.

7248668427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7248668427 - 2³ = 7248668419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7248663427) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1808808 + ... + 1812810.

It is an arithmetic number, because the mean of its divisors is an integer number (114354240).

Almost surely, 2^7248668427 is an apocalyptic number.

7248668427 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7248668427 is an abundant number, since it is smaller than the sum of its proper divisors (7388674293).

7248668427 is a wasteful number, since it uses less digits than its factorization.

7248668427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4104 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 7248668427 is about 85139.1122046736. The cubic root of 7248668427 is about 1935.3198221435.

The spelling of 7248668427 in words is "seven billion, two hundred forty-eight million, six hundred sixty-eight thousand, four hundred twenty-seven".