19006742006667 has 48 divisors (see below), whose sum is σ = 29761284833280. Its totient is φ = 11642140613376.

The previous prime is 19006742006647. The next prime is 19006742006669. The reversal of 19006742006667 is 76660024760091.

It is not a de Polignac number, because 19006742006667 - 2¹⁴ = 19006741990283 is a prime.

It is a super-2 number, since 2×19006742006667² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19006742006669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11369334 + ... + 12933492.

It is an arithmetic number, because the mean of its divisors is an integer number (620026767360).

Almost surely, 2^{19006742006667} is an apocalyptic number.

19006742006667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

19006742006667 is a deficient number, since it is larger than the sum of its proper divisors (10754542826613).

19006742006667 is a wasteful number, since it uses less digits than its factorization.

19006742006667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566072 (or 1566069 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 19006742006667 in words is "nineteen trillion, six billion, seven hundred forty-two million, six thousand, six hundred sixty-seven".