7427633761 has 8 divisors (see below), whose sum is σ = 7936707240. Its totient is φ = 6926577408.

The previous prime is 7427633713. The next prime is 7427633771. The reversal of 7427633761 is 1673367247.

It can be written as a sum of positive squares in 4 ways, for example, as 3113640000 + 4313993761 = 55800^2 + 65681^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7427633761 - 2⁹ = 7427633249 is a prime.

It is a super-3 number, since 3×7427633761³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7427633701) 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 7 ways as a sum of consecutive naturals, for example, 2002366 + ... + 2006071.

It is an arithmetic number, because the mean of its divisors is an integer number (992088405).

Almost surely, 2^7427633761 is an apocalyptic number.

It is an amenable number.

7427633761 is a deficient number, since it is larger than the sum of its proper divisors (509073479).

7427633761 is a wasteful number, since it uses less digits than its factorization.

7427633761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008563.

The product of its digits is 889056, while the sum is 46.

The square root of 7427633761 is about 86183.7209744393. The cubic root of 7427633761 is about 1951.1178128421.

The spelling of 7427633761 in words is "seven billion, four hundred twenty-seven million, six hundred thirty-three thousand, seven hundred sixty-one".