4638370989667 has 16 divisors (see below), whose sum is σ = 4769669376000. Its totient is φ = 4508515740960.

The previous prime is 4638370989643. The next prime is 4638370989671. The reversal of 4638370989667 is 7669890738364.

It is a cyclic number.

It is not a de Polignac number, because 4638370989667 - 2¹⁵ = 4638370956899 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4638370989593 and 4638370989602.

It is not an unprimeable number, because it can be changed into a prime (4638370980667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4601634 + ... + 5518312.

It is an arithmetic number, because the mean of its divisors is an integer number (298104336000).

Almost surely, 2^{4638370989667} is an apocalyptic number.

4638370989667 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4638370989667 is a deficient number, since it is larger than the sum of its proper divisors (131298386333).

4638370989667 is a wasteful number, since it uses less digits than its factorization.

4638370989667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917466.

The product of its (nonzero) digits is 1975228416, while the sum is 76.

The spelling of 4638370989667 in words is "four trillion, six hundred thirty-eight billion, three hundred seventy million, nine hundred eighty-nine thousand, six hundred sixty-seven".