7427633677 has 16 divisors (see below), whose sum is σ = 7673823360. Its totient is φ = 7184736000.

The previous prime is 7427633663. The next prime is 7427633683. The reversal of 7427633677 is 7763367247.

It is a cyclic number.

It is not a de Polignac number, because 7427633677 - 2²⁷ = 7293415949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7427633617) 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 15 ways as a sum of consecutive naturals, for example, 5007778 + ... + 5009260.

It is an arithmetic number, because the mean of its divisors is an integer number (479613960).

Almost surely, 2^7427633677 is an apocalyptic number.

It is an amenable number.

7427633677 is a deficient number, since it is larger than the sum of its proper divisors (246189683).

7427633677 is a wasteful number, since it uses less digits than its factorization.

7427633677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484.

The product of its digits is 6223392, while the sum is 52.

The square root of 7427633677 is about 86183.7204871082. The cubic root of 7427633677 is about 1951.1178054869.

The spelling of 7427633677 in words is "seven billion, four hundred twenty-seven million, six hundred thirty-three thousand, six hundred seventy-seven".