1038689727967 has 8 divisors (see below), whose sum is σ = 1097130636800. Its totient is φ = 981807243480.

The previous prime is 1038689727953. The next prime is 1038689728001. The reversal of 1038689727967 is 7697279868301.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1038689727967 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1038689727967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038689727917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389604717 + ... + 389607382.

It is an arithmetic number, because the mean of its divisors is an integer number (137141329600).

Almost surely, 2^{1038689727967} is an apocalyptic number.

1038689727967 is a deficient number, since it is larger than the sum of its proper divisors (58440908833).

1038689727967 is an equidigital number, since it uses as much as digits as its factorization.

1038689727967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779212173.

The product of its (nonzero) digits is 384072192, while the sum is 73.

The spelling of 1038689727967 in words is "one trillion, thirty-eight billion, six hundred eighty-nine million, seven hundred twenty-seven thousand, nine hundred sixty-seven".