As per Shastra’s :

।। वाग्मी धीरः सभायाम् च तृपवेश्मनी संसदि न च कातरतामेती तैव भंगो भवेद्ध्रुवम् ।।
पद्मपुराण, अ. ५७, श्लो. ६२

The wearer of a 6 Mukhi Rudraksha is said to become a skilled speaker. The person is said to experience that they do not get timid or nervous.

Padma Purana, Chapter.. 57, Shloka. 62

Essence of Six Mukhi Rudraksha:

The Six Mukhi Rudraksha is blessed by Lord Kartikeya the youthful, resplendent brave son of Lord Shiva. Kartikeya is known as Skanda (the spilled one) Shanmukha (the six faced one) Mahasena (Commander of the army of the Devas, Guru Guha (he who resides in a cave symbolic of the heart of Shiva). When you envision Kartikeya a bright faced youth who is a fearless warrior riding on a peacock and holding his weapon the Shaktivel comes to mind.

The Six Mukhi Rudraksha is useful in controlling the malefic effects of Venus. Some texts also state that this Rudraksha is jointly blessed by Kartikeya and Lord Ganesha. It is believed that Goddess Laxmi also blesses the wearer of this Rudraksha. Thus it can be worn on the neck or on the wrist to do away with lethargy while boosting energy, attractiveness and essential communication along with fearlessness.

The six Mukhi Rudraksha can increase the attractiveness of the wearer. It has been clearly mentioned in the texts that this is the Rudraksha to wear for attracting the right knowledge, wealth and youthfulness. It blesses the wearer with wisdom, increased intelligence, will power and a steady mind. It improves artistic qualities, expression power and oratory skills.