7638998367 has 64 divisors (see below), whose sum is σ = 13879885824. Its totient is φ = 3608288640.

The previous prime is 7638998359. The next prime is 7638998383.

It is a happy number.

7638998367 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7638998367 - 2³ = 7638998359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7638998298 and 7638998307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638998327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182218 + ... + 220184.

It is an arithmetic number, because the mean of its divisors is an integer number (216873216).

Almost surely, 2^7638998367 is an apocalyptic number.

7638998367 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7638998367 is a deficient number, since it is larger than the sum of its proper divisors (6240887457).

7638998367 is a wasteful number, since it uses less digits than its factorization.

7638998367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38068.

The product of its digits is 82301184, while the sum is 66.

The square root of 7638998367 is about 87401.3636449684. The cubic root of 7638998367 is about 1969.4523258761.

The spelling of 7638998367 in words is "seven billion, six hundred thirty-eight million, nine hundred ninety-eight thousand, three hundred sixty-seven".