7263113627 has 32 divisors (see below), whose sum is σ = 9590206464. Its totient is φ = 5332615200.

The previous prime is 7263113623. The next prime is 7263113687.

7263113627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7263113627 - 2² = 7263113623 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7263113623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88052 + ... + 149262.

It is an arithmetic number, because the mean of its divisors is an integer number (299693952).

Almost surely, 2^7263113627 is an apocalyptic number.

7263113627 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7263113627 is a deficient number, since it is larger than the sum of its proper divisors (2327092837).

7263113627 is a wasteful number, since it uses less digits than its factorization.

7263113627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61319.

The product of its digits is 63504, while the sum is 38.

The square root of 7263113627 is about 85223.9029087497. The cubic root of 7263113627 is about 1936.6045423348.

The spelling of 7263113627 in words is "seven billion, two hundred sixty-three million, one hundred thirteen thousand, six hundred twenty-seven".